Singularities in geometry and topology :: proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 /
Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young rese...
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| Other Authors: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore ; Hackensack, NJ :
World Scientific,
©2007.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology. The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major. |
| Physical Description: | 1 online resource (xi, 902 pages) : illustrations |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9789812706812 981270681X |
Staff View
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| 245 | 0 | 0 | |a Singularities in geometry and topology : |b proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 / |c editors Jean-Paul Brasselet [and others]. |
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| 520 | |a Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology. The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major. | ||
| 505 | 0 | 0 | |g Part I Elementary School on Singularity Theory. |t Introduction to Basic Toric Geometry / |r G. Barthel, L. Kaup and K.-H. Fieseler -- |t Poincare-Hopf Theorems on Singular Varieties / |r J.-P. Brasselet -- |t Notes on Real and Complex Analytic and Semianalytic Singularities / |r D.B. Massey and D.T. Le -- |t On Milnor's Fibration Theorem for Real and Complex Singularities / |r J. Seade -- |t Introduction to Complex Analytic Geometry / |r T. Suwa -- Part I1 Advanced School on Singularity Theory. |t Metric Theory of Singularities. Lipschitz Geometry of Singular Spaces / |r L . Birbrair -- |t Lectures on Monodromy / |r W. Ebeling and S.M. Gusein-Zade -- |t Computational Aspects of Singularities / |r A. Friihbis-Kriiger -- |t Lagrangian and Legendrian Varieties and Stability of Their Projections / |r V.V. Goryunov and V.M. Zakalyukin -- |t A Resolution of Singularities of a Toric Variety and a Non-degenerate Hypersurface / |r S. Ishii -- |t Problems in Topology of the Complements to Plane Singular Curves / |r V.V. Goryunov and V.M. Zakalyukin / |r A. Libgober -- |t Topology of Degeneration of Riemann Surfaces / |r Y. Matsumoto -- |t Graded Roots and Singularities / |r A. Ndmethi -- |t Chern Classes and Thom Polynomials / |r T. Ohmoto -- |t McKay Correspondence for Quotient Surface Singularities / |r 0. Riemenschneider -- |t Lectures on the Topology of Polynomial Functions and Singularities at Infinity / |r D. Siersma and M. Tibar -- |t Hodge Theory : The Search for Purity / |r C.A.M. Peters and J.H.M. Steenbrink -- Part III Workshop on Singularities in Geometry and Topology. |t On Sufficiency of Jets / |r H. Brodersen -- |t Singularity Theory Approach to Time Averaged Optimization / |r A. Davydov and H. Mena-Matos -- |t Indices of Collections of l-Forms / |r W. Ebeling and S.M. Gusein-Zade -- |t A Lefschetz Theorem on the Picard Group of Complex Projective Varieties / |r H.A. Hamm and D.T. Le -- |t Braid Monodromy and of Discriminant Complements / |r M. Lonne -- Tangential Alexander Polynomials and Non-reduced Degeneration / |r M. Oka -- |t On Rigidity of Germs of Holomorphic Dicritic Foliations and Formal Normal Forms / |r E. Rosales- Gonza'lez -- |t Polar Multiplicities and Euler Obstruction of the Stable Types in Weighted Homogeneous Map Germs from @" to C3, n 2 3 / |r E.C. Rizziolli and M.J. Saia -- |t Logarithmic Vector Fields and Multiplication Table / |r S. Tanabe -- Some Surface Singularities Obtained via Lie Algebras / |r K. Nakamoto and M. Tosun -- |t Maxwell Strata and Caustics / |r M. wan Manen -- |t Complex Curve Singularities : A Biased Introduction / |r B. Teissier. |
| 650 | 0 | |a Singularities (Mathematics) |v Congresses. | |
| 650 | 6 | |a Singularités (Mathématiques) |v Congrès. | |
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| 700 | 1 | |a Brasselet, Jean-Paul. |0 http://id.loc.gov/authorities/names/n80077624 | |
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| author_additional | G. Barthel, L. Kaup and K.-H. Fieseler -- J.-P. Brasselet -- D.B. Massey and D.T. Le -- J. Seade -- T. Suwa -- Part I1 Advanced School on Singularity Theory. L . Birbrair -- W. Ebeling and S.M. Gusein-Zade -- A. Friihbis-Kriiger -- V.V. Goryunov and V.M. Zakalyukin -- S. Ishii -- V.V. Goryunov and V.M. Zakalyukin / A. Libgober -- Y. Matsumoto -- A. Ndmethi -- T. Ohmoto -- 0. Riemenschneider -- D. Siersma and M. Tibar -- C.A.M. Peters and J.H.M. Steenbrink -- Part III Workshop on Singularities in Geometry and Topology. H. Brodersen -- A. Davydov and H. Mena-Matos -- H.A. Hamm and D.T. Le -- M. Lonne -- Tangential Alexander Polynomials and Non-reduced Degeneration / M. Oka -- E. Rosales- Gonza'lez -- E.C. Rizziolli and M.J. Saia -- S. Tanabe -- Some Surface Singularities Obtained via Lie Algebras / K. Nakamoto and M. Tosun -- M. wan Manen -- B. Teissier. |
| author_facet | Brasselet, Jean-Paul |
| author_sort | Brasselet, Jean-Paul |
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| contents | Introduction to Basic Toric Geometry / Poincare-Hopf Theorems on Singular Varieties / Notes on Real and Complex Analytic and Semianalytic Singularities / On Milnor's Fibration Theorem for Real and Complex Singularities / Introduction to Complex Analytic Geometry / Metric Theory of Singularities. Lipschitz Geometry of Singular Spaces / Lectures on Monodromy / Computational Aspects of Singularities / Lagrangian and Legendrian Varieties and Stability of Their Projections / A Resolution of Singularities of a Toric Variety and a Non-degenerate Hypersurface / Problems in Topology of the Complements to Plane Singular Curves / Topology of Degeneration of Riemann Surfaces / Graded Roots and Singularities / Chern Classes and Thom Polynomials / McKay Correspondence for Quotient Surface Singularities / Lectures on the Topology of Polynomial Functions and Singularities at Infinity / Hodge Theory : The Search for Purity / On Sufficiency of Jets / Singularity Theory Approach to Time Averaged Optimization / Indices of Collections of l-Forms / A Lefschetz Theorem on the Picard Group of Complex Projective Varieties / Braid Monodromy and of Discriminant Complements / On Rigidity of Germs of Holomorphic Dicritic Foliations and Formal Normal Forms / Polar Multiplicities and Euler Obstruction of the Stable Types in Weighted Homogeneous Map Germs from @" to C3, n 2 3 / Logarithmic Vector Fields and Multiplication Table / Maxwell Strata and Caustics / Complex Curve Singularities : A Biased Introduction / |
| ctrlnum | (OCoLC)172987210 |
| dewey-full | 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
| dewey-search | 516.3/5 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre_facet | Conference papers and proceedings |
| id | ZDB-4-EBA-ocn172987210 |
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| indexdate | 2025-04-11T08:35:55Z |
| institution | BVB |
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| language | English |
| oclc_num | 172987210 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xi, 902 pages) : illustrations |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | Singularities in geometry and topology : proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 / editors Jean-Paul Brasselet [and others]. Singapore ; Hackensack, NJ : World Scientific, ©2007. 1 online resource (xi, 902 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references. Print version record. Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology. The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major. Part I Elementary School on Singularity Theory. Introduction to Basic Toric Geometry / G. Barthel, L. Kaup and K.-H. Fieseler -- Poincare-Hopf Theorems on Singular Varieties / J.-P. Brasselet -- Notes on Real and Complex Analytic and Semianalytic Singularities / D.B. Massey and D.T. Le -- On Milnor's Fibration Theorem for Real and Complex Singularities / J. Seade -- Introduction to Complex Analytic Geometry / T. Suwa -- Part I1 Advanced School on Singularity Theory. Metric Theory of Singularities. Lipschitz Geometry of Singular Spaces / L . Birbrair -- Lectures on Monodromy / W. Ebeling and S.M. Gusein-Zade -- Computational Aspects of Singularities / A. Friihbis-Kriiger -- Lagrangian and Legendrian Varieties and Stability of Their Projections / V.V. Goryunov and V.M. Zakalyukin -- A Resolution of Singularities of a Toric Variety and a Non-degenerate Hypersurface / S. Ishii -- Problems in Topology of the Complements to Plane Singular Curves / V.V. Goryunov and V.M. Zakalyukin / A. Libgober -- Topology of Degeneration of Riemann Surfaces / Y. Matsumoto -- Graded Roots and Singularities / A. Ndmethi -- Chern Classes and Thom Polynomials / T. Ohmoto -- McKay Correspondence for Quotient Surface Singularities / 0. Riemenschneider -- Lectures on the Topology of Polynomial Functions and Singularities at Infinity / D. Siersma and M. Tibar -- Hodge Theory : The Search for Purity / C.A.M. Peters and J.H.M. Steenbrink -- Part III Workshop on Singularities in Geometry and Topology. On Sufficiency of Jets / H. Brodersen -- Singularity Theory Approach to Time Averaged Optimization / A. Davydov and H. Mena-Matos -- Indices of Collections of l-Forms / W. Ebeling and S.M. Gusein-Zade -- A Lefschetz Theorem on the Picard Group of Complex Projective Varieties / H.A. Hamm and D.T. Le -- Braid Monodromy and of Discriminant Complements / M. Lonne -- Tangential Alexander Polynomials and Non-reduced Degeneration / M. Oka -- On Rigidity of Germs of Holomorphic Dicritic Foliations and Formal Normal Forms / E. Rosales- Gonza'lez -- Polar Multiplicities and Euler Obstruction of the Stable Types in Weighted Homogeneous Map Germs from @" to C3, n 2 3 / E.C. Rizziolli and M.J. Saia -- Logarithmic Vector Fields and Multiplication Table / S. Tanabe -- Some Surface Singularities Obtained via Lie Algebras / K. Nakamoto and M. Tosun -- Maxwell Strata and Caustics / M. wan Manen -- Complex Curve Singularities : A Biased Introduction / B. Teissier. Singularities (Mathematics) Congresses. Singularités (Mathématiques) Congrès. MATHEMATICS Geometry Algebraic. bisacsh Singularities (Mathematics) fast Singulariteiten. gtt Conference papers and proceedings fast Brasselet, Jean-Paul. http://id.loc.gov/authorities/names/n80077624 has work: Singularities in geometry and topology (Text) https://id.oclc.org/worldcat/entity/E39PCG4pMvy8fXDbPVGJRVcqw3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Singularities in geometry and topology. Singapore ; Hackensack, NJ : World Scientific, ©2007 9812700226 9789812700223 (DLC) 2007279599 (OCoLC)124041038 |
| spellingShingle | Singularities in geometry and topology : proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 / Introduction to Basic Toric Geometry / Poincare-Hopf Theorems on Singular Varieties / Notes on Real and Complex Analytic and Semianalytic Singularities / On Milnor's Fibration Theorem for Real and Complex Singularities / Introduction to Complex Analytic Geometry / Metric Theory of Singularities. Lipschitz Geometry of Singular Spaces / Lectures on Monodromy / Computational Aspects of Singularities / Lagrangian and Legendrian Varieties and Stability of Their Projections / A Resolution of Singularities of a Toric Variety and a Non-degenerate Hypersurface / Problems in Topology of the Complements to Plane Singular Curves / Topology of Degeneration of Riemann Surfaces / Graded Roots and Singularities / Chern Classes and Thom Polynomials / McKay Correspondence for Quotient Surface Singularities / Lectures on the Topology of Polynomial Functions and Singularities at Infinity / Hodge Theory : The Search for Purity / On Sufficiency of Jets / Singularity Theory Approach to Time Averaged Optimization / Indices of Collections of l-Forms / A Lefschetz Theorem on the Picard Group of Complex Projective Varieties / Braid Monodromy and of Discriminant Complements / On Rigidity of Germs of Holomorphic Dicritic Foliations and Formal Normal Forms / Polar Multiplicities and Euler Obstruction of the Stable Types in Weighted Homogeneous Map Germs from @" to C3, n 2 3 / Logarithmic Vector Fields and Multiplication Table / Maxwell Strata and Caustics / Complex Curve Singularities : A Biased Introduction / Singularities (Mathematics) Congresses. Singularités (Mathématiques) Congrès. MATHEMATICS Geometry Algebraic. bisacsh Singularities (Mathematics) fast Singulariteiten. gtt |
| title | Singularities in geometry and topology : proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 / |
| title_alt | Introduction to Basic Toric Geometry / Poincare-Hopf Theorems on Singular Varieties / Notes on Real and Complex Analytic and Semianalytic Singularities / On Milnor's Fibration Theorem for Real and Complex Singularities / Introduction to Complex Analytic Geometry / Metric Theory of Singularities. Lipschitz Geometry of Singular Spaces / Lectures on Monodromy / Computational Aspects of Singularities / Lagrangian and Legendrian Varieties and Stability of Their Projections / A Resolution of Singularities of a Toric Variety and a Non-degenerate Hypersurface / Problems in Topology of the Complements to Plane Singular Curves / Topology of Degeneration of Riemann Surfaces / Graded Roots and Singularities / Chern Classes and Thom Polynomials / McKay Correspondence for Quotient Surface Singularities / Lectures on the Topology of Polynomial Functions and Singularities at Infinity / Hodge Theory : The Search for Purity / On Sufficiency of Jets / Singularity Theory Approach to Time Averaged Optimization / Indices of Collections of l-Forms / A Lefschetz Theorem on the Picard Group of Complex Projective Varieties / Braid Monodromy and of Discriminant Complements / On Rigidity of Germs of Holomorphic Dicritic Foliations and Formal Normal Forms / Polar Multiplicities and Euler Obstruction of the Stable Types in Weighted Homogeneous Map Germs from @" to C3, n 2 3 / Logarithmic Vector Fields and Multiplication Table / Maxwell Strata and Caustics / Complex Curve Singularities : A Biased Introduction / |
| title_auth | Singularities in geometry and topology : proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 / |
| title_exact_search | Singularities in geometry and topology : proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 / |
| title_full | Singularities in geometry and topology : proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 / editors Jean-Paul Brasselet [and others]. |
| title_fullStr | Singularities in geometry and topology : proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 / editors Jean-Paul Brasselet [and others]. |
| title_full_unstemmed | Singularities in geometry and topology : proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 / editors Jean-Paul Brasselet [and others]. |
| title_short | Singularities in geometry and topology : |
| title_sort | singularities in geometry and topology proceedings of the trieste singularity summer school and workshop ictp trieste italy 15 august 3 september 2005 |
| title_sub | proceedings of the Trieste Singularity Summer School and Workshop, ICTP, Trieste, Italy, 15 August - 3 September 2005 / |
| topic | Singularities (Mathematics) Congresses. Singularités (Mathématiques) Congrès. MATHEMATICS Geometry Algebraic. bisacsh Singularities (Mathematics) fast Singulariteiten. gtt |
| topic_facet | Singularities (Mathematics) Congresses. Singularités (Mathématiques) Congrès. MATHEMATICS Geometry Algebraic. Singularities (Mathematics) Singulariteiten. Conference papers and proceedings |
| work_keys_str_mv | AT brasseletjeanpaul singularitiesingeometryandtopologyproceedingsofthetriestesingularitysummerschoolandworkshopictptriesteitaly15august3september2005 |