Lectures on resolution of singularities /:
Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, Janos Kollar provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. K...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton :
Princeton University Press,
2007.
|
| Series: | Annals of mathematics studies ;
no. 166. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, Janos Kollar provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kollar goes back to the original sources and presents them in a modern context. He addresses three methods for surfaces, and gives a self-contained and entirely elementary proof of a strong and functorial resolution in all dimensions. Based on a series of lectures at Princeton University and written. |
| Physical Description: | 1 online resource (vi, 208 pages) |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages 197-202) and index. |
| ISBN: | 9781400827800 1400827809 |
Staff View
MARC
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| 100 | 1 | |a Kollár, János. |0 http://id.loc.gov/authorities/names/nr89014031 | |
| 245 | 1 | 0 | |a Lectures on resolution of singularities / |c János Kollár. |
| 260 | |a Princeton : |b Princeton University Press, |c 2007. | ||
| 300 | |a 1 online resource (vi, 208 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of mathematics studies ; |v no. 166 | |
| 504 | |a Includes bibliographical references (pages 197-202) and index. | ||
| 520 | |a Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, Janos Kollar provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kollar goes back to the original sources and presents them in a modern context. He addresses three methods for surfaces, and gives a self-contained and entirely elementary proof of a strong and functorial resolution in all dimensions. Based on a series of lectures at Princeton University and written. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Contents; Introduction; Chapter 1. Resolution for Curves; Chapter 2. Resolution for Surfaces; Chapter 3. Strong Resolution in Characteristic Zero; Bibliography; Index. | |
| 546 | |a In English. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2011. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2011 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 650 | 0 | |a Singularities (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85122871 | |
| 650 | 6 | |a Singularités (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a Singularities (Mathematics) |2 fast | |
| 650 | 7 | |a Algebraische Fläche |2 gnd |0 http://d-nb.info/gnd/4195660-6 | |
| 650 | 7 | |a Algebraische Kurve |2 gnd |0 http://d-nb.info/gnd/4001165-3 | |
| 650 | 7 | |a Auflösung von Singularitäten |2 gnd |0 http://d-nb.info/gnd/4181537-3 | |
| 653 | |a Adjunction formula. | ||
| 653 | |a Algebraic closure. | ||
| 653 | |a Algebraic geometry. | ||
| 653 | |a Algebraic space. | ||
| 653 | |a Algebraic surface. | ||
| 653 | |a Algebraic variety. | ||
| 653 | |a Approximation. | ||
| 653 | |a Asymptotic analysis. | ||
| 653 | |a Automorphism. | ||
| 653 | |a Bernhard Riemann. | ||
| 653 | |a Big O notation. | ||
| 653 | |a Birational geometry. | ||
| 653 | |a C0. | ||
| 653 | |a Canonical singularity. | ||
| 653 | |a Codimension. | ||
| 653 | |a Cohomology. | ||
| 653 | |a Commutative algebra. | ||
| 653 | |a Complex analysis. | ||
| 653 | |a Complex manifold. | ||
| 653 | |a Computability. | ||
| 653 | |a Continuous function. | ||
| 653 | |a Coordinate system. | ||
| 653 | |a Diagram (category theory). | ||
| 653 | |a Differential geometry of surfaces. | ||
| 653 | |a Dimension. | ||
| 653 | |a Divisor. | ||
| 653 | |a Du Val singularity. | ||
| 653 | |a Dual graph. | ||
| 653 | |a Embedding. | ||
| 653 | |a Equation. | ||
| 653 | |a Equivalence relation. | ||
| 653 | |a Euclidean algorithm. | ||
| 653 | |a Factorization. | ||
| 653 | |a Functor. | ||
| 653 | |a General position. | ||
| 653 | |a Generic point. | ||
| 653 | |a Geometric genus. | ||
| 653 | |a Geometry. | ||
| 653 | |a Hyperplane. | ||
| 653 | |a Hypersurface. | ||
| 653 | |a Integral domain. | ||
| 653 | |a Intersection (set theory). | ||
| 653 | |a Intersection number (graph theory). | ||
| 653 | |a Intersection theory. | ||
| 653 | |a Irreducible component. | ||
| 653 | |a Isolated singularity. | ||
| 653 | |a Laurent series. | ||
| 653 | |a Line bundle. | ||
| 653 | |a Linear space (geometry). | ||
| 653 | |a Linear subspace. | ||
| 653 | |a Mathematical induction. | ||
| 653 | |a Mathematics. | ||
| 653 | |a Maximal ideal. | ||
| 653 | |a Morphism. | ||
| 653 | |a Newton polygon. | ||
| 653 | |a Noetherian ring. | ||
| 653 | |a Noetherian. | ||
| 653 | |a Open problem. | ||
| 653 | |a Open set. | ||
| 653 | |a P-adic number. | ||
| 653 | |a Pairwise. | ||
| 653 | |a Parametric equation. | ||
| 653 | |a Partial derivative. | ||
| 653 | |a Plane curve. | ||
| 653 | |a Polynomial. | ||
| 653 | |a Power series. | ||
| 653 | |a Principal ideal. | ||
| 653 | |a Principalization (algebra). | ||
| 653 | |a Projective space. | ||
| 653 | |a Projective variety. | ||
| 653 | |a Proper morphism. | ||
| 653 | |a Puiseux series. | ||
| 653 | |a Quasi-projective variety. | ||
| 653 | |a Rational function. | ||
| 653 | |a Regular local ring. | ||
| 653 | |a Resolution of singularities. | ||
| 653 | |a Riemann surface. | ||
| 653 | |a Ring theory. | ||
| 653 | |a Ruler. | ||
| 653 | |a Scientific notation. | ||
| 653 | |a Sheaf (mathematics). | ||
| 653 | |a Singularity theory. | ||
| 653 | |a Smooth morphism. | ||
| 653 | |a Smoothness. | ||
| 653 | |a Special case. | ||
| 653 | |a Subring. | ||
| 653 | |a Summation. | ||
| 653 | |a Surjective function. | ||
| 653 | |a Tangent cone. | ||
| 653 | |a Tangent space. | ||
| 653 | |a Tangent. | ||
| 653 | |a Taylor series. | ||
| 653 | |a Theorem. | ||
| 653 | |a Topology. | ||
| 653 | |a Toric variety. | ||
| 653 | |a Transversal (geometry). | ||
| 653 | |a Variable (mathematics). | ||
| 653 | |a Weierstrass preparation theorem. | ||
| 653 | |a Weierstrass theorem. | ||
| 653 | |a Zero set. | ||
| 758 | |i has work: |a Lectures on resolution of singularities (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH8XY7XDdmm7JxkwTxCFw3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| author | Kollár, János |
| author_GND | http://id.loc.gov/authorities/names/nr89014031 |
| author_facet | Kollár, János |
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| contents | Contents; Introduction; Chapter 1. Resolution for Curves; Chapter 2. Resolution for Surfaces; Chapter 3. Strong Resolution in Characteristic Zero; Bibliography; Index. |
| ctrlnum | (OCoLC)438732324 |
| dewey-full | 516.3/5 |
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| dewey-ones | 516 - Geometry |
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| id | ZDB-4-EBA-ocn438732324 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:36:27Z |
| institution | BVB |
| isbn | 9781400827800 1400827809 |
| language | English |
| oclc_num | 438732324 |
| 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 (vi, 208 pages) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Annals of mathematics studies ; |
| series2 | Annals of mathematics studies ; |
| spelling | Kollár, János. http://id.loc.gov/authorities/names/nr89014031 Lectures on resolution of singularities / János Kollár. Princeton : Princeton University Press, 2007. 1 online resource (vi, 208 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Annals of mathematics studies ; no. 166 Includes bibliographical references (pages 197-202) and index. Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, Janos Kollar provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kollar goes back to the original sources and presents them in a modern context. He addresses three methods for surfaces, and gives a self-contained and entirely elementary proof of a strong and functorial resolution in all dimensions. Based on a series of lectures at Princeton University and written. Print version record. Contents; Introduction; Chapter 1. Resolution for Curves; Chapter 2. Resolution for Surfaces; Chapter 3. Strong Resolution in Characteristic Zero; Bibliography; Index. In English. Use copy Restrictions unspecified star MiAaHDL Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2011. MiAaHDL Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL Singularities (Mathematics) http://id.loc.gov/authorities/subjects/sh85122871 Singularités (Mathématiques) MATHEMATICS Geometry Algebraic. bisacsh Singularities (Mathematics) fast Algebraische Fläche gnd http://d-nb.info/gnd/4195660-6 Algebraische Kurve gnd http://d-nb.info/gnd/4001165-3 Auflösung von Singularitäten gnd http://d-nb.info/gnd/4181537-3 Adjunction formula. Algebraic closure. Algebraic geometry. Algebraic space. Algebraic surface. Algebraic variety. Approximation. Asymptotic analysis. Automorphism. Bernhard Riemann. Big O notation. Birational geometry. C0. Canonical singularity. Codimension. Cohomology. Commutative algebra. Complex analysis. Complex manifold. Computability. Continuous function. Coordinate system. Diagram (category theory). Differential geometry of surfaces. Dimension. Divisor. Du Val singularity. Dual graph. Embedding. Equation. Equivalence relation. Euclidean algorithm. Factorization. Functor. General position. Generic point. Geometric genus. Geometry. Hyperplane. Hypersurface. Integral domain. Intersection (set theory). Intersection number (graph theory). Intersection theory. Irreducible component. Isolated singularity. Laurent series. Line bundle. Linear space (geometry). Linear subspace. Mathematical induction. Mathematics. Maximal ideal. Morphism. Newton polygon. Noetherian ring. Noetherian. Open problem. Open set. P-adic number. Pairwise. Parametric equation. Partial derivative. Plane curve. Polynomial. Power series. Principal ideal. Principalization (algebra). Projective space. Projective variety. Proper morphism. Puiseux series. Quasi-projective variety. Rational function. Regular local ring. Resolution of singularities. Riemann surface. Ring theory. Ruler. Scientific notation. Sheaf (mathematics). Singularity theory. Smooth morphism. Smoothness. Special case. Subring. Summation. Surjective function. Tangent cone. Tangent space. Tangent. Taylor series. Theorem. Topology. Toric variety. Transversal (geometry). Variable (mathematics). Weierstrass preparation theorem. Weierstrass theorem. Zero set. has work: Lectures on resolution of singularities (Text) https://id.oclc.org/worldcat/entity/E39PCH8XY7XDdmm7JxkwTxCFw3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Kollár, János. Lectures on resolution of singularities. Princeton : Princeton University Press, 2007 9780691129228 0691129223 (DLC) 2006050554 (OCoLC)70839833 Annals of mathematics studies ; no. 166. http://id.loc.gov/authorities/names/n42002129 |
| spellingShingle | Kollár, János Lectures on resolution of singularities / Annals of mathematics studies ; Contents; Introduction; Chapter 1. Resolution for Curves; Chapter 2. Resolution for Surfaces; Chapter 3. Strong Resolution in Characteristic Zero; Bibliography; Index. Singularities (Mathematics) http://id.loc.gov/authorities/subjects/sh85122871 Singularités (Mathématiques) MATHEMATICS Geometry Algebraic. bisacsh Singularities (Mathematics) fast Algebraische Fläche gnd http://d-nb.info/gnd/4195660-6 Algebraische Kurve gnd http://d-nb.info/gnd/4001165-3 Auflösung von Singularitäten gnd http://d-nb.info/gnd/4181537-3 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85122871 http://d-nb.info/gnd/4195660-6 http://d-nb.info/gnd/4001165-3 http://d-nb.info/gnd/4181537-3 |
| title | Lectures on resolution of singularities / |
| title_auth | Lectures on resolution of singularities / |
| title_exact_search | Lectures on resolution of singularities / |
| title_full | Lectures on resolution of singularities / János Kollár. |
| title_fullStr | Lectures on resolution of singularities / János Kollár. |
| title_full_unstemmed | Lectures on resolution of singularities / János Kollár. |
| title_short | Lectures on resolution of singularities / |
| title_sort | lectures on resolution of singularities |
| topic | Singularities (Mathematics) http://id.loc.gov/authorities/subjects/sh85122871 Singularités (Mathématiques) MATHEMATICS Geometry Algebraic. bisacsh Singularities (Mathematics) fast Algebraische Fläche gnd http://d-nb.info/gnd/4195660-6 Algebraische Kurve gnd http://d-nb.info/gnd/4001165-3 Auflösung von Singularitäten gnd http://d-nb.info/gnd/4181537-3 |
| topic_facet | Singularities (Mathematics) Singularités (Mathématiques) MATHEMATICS Geometry Algebraic. Algebraische Fläche Algebraische Kurve Auflösung von Singularitäten |
| work_keys_str_mv | AT kollarjanos lecturesonresolutionofsingularities |