Vector bundles in algebraic geometry :: Durham, 1993 /
The study of vector bundles over algebraic varieties has been stimulated over the last few years by successive waves of migrant concepts, largely from mathematical physics, whilst retaining its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on Vector Bu...
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| Weitere Verfasser: | , , |
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [England] ; New York :
Cambridge University Press,
1995.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
208. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The study of vector bundles over algebraic varieties has been stimulated over the last few years by successive waves of migrant concepts, largely from mathematical physics, whilst retaining its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on Vector Bundles in Algebraic Geometry brought together some of the leading researchers in the field to explore further these interactions. This book is a collection of survey articles by the main speakers at the symposium and presents to the mathematical world an overview of the key areas of research involving vector bundles. Topics covered include those linking gauge theory and geometric invariant theory such as augmented bundles and coherent systems; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal field theory and the moduli spaces of bundles on curves; the Horrocks-Mumford bundle and codimension 2 subvarieties in P4 and P5; exceptional bundles and stable sheaves on projective space. |
| Beschreibung: | Proceedings of the 1993 Durham Symposium. |
| Beschreibung: | 1 online resource (ix, 345 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781107362246 1107362245 9780511569319 0511569319 1139885197 9781139885195 1107367158 9781107367159 1107371775 9781107371774 1107368553 9781107368552 1299404847 9781299404847 1107364698 9781107364691 |
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| 245 | 0 | 0 | |a Vector bundles in algebraic geometry : |b Durham, 1993 / |c edited by N.J. Hitchin, P.E. Newstead, W.M. Oxbury. |
| 260 | |a Cambridge [England] ; |a New York : |b Cambridge University Press, |c 1995. | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 208 | |
| 500 | |a Proceedings of the 1993 Durham Symposium. | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a The study of vector bundles over algebraic varieties has been stimulated over the last few years by successive waves of migrant concepts, largely from mathematical physics, whilst retaining its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on Vector Bundles in Algebraic Geometry brought together some of the leading researchers in the field to explore further these interactions. This book is a collection of survey articles by the main speakers at the symposium and presents to the mathematical world an overview of the key areas of research involving vector bundles. Topics covered include those linking gauge theory and geometric invariant theory such as augmented bundles and coherent systems; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal field theory and the moduli spaces of bundles on curves; the Horrocks-Mumford bundle and codimension 2 subvarieties in P4 and P5; exceptional bundles and stable sheaves on projective space. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; List of participants; Introduction; On the deformation theory of moduli spaces of vector bundles; 0 Introduction; 1 Deformations of the moduli space; 2 Intermediate Jacobians, Torelli-type theorems; 3 Deformations of the Picard bundle; References; Stable augmented bundles over Riemann surfaces; Introduction; 1. Stability for Augmented Bundles; 2. Analytic Aspects; 3. The Stability Parameters; 4. Moduli spaces; 5. Master spaces; 6. Other Augmented Bundles; References; On surfaces in P4 and 3-folds in P5; 0. INTRODUCTION; 1. CONSTRUCTIONS VIA SYZYGIES | |
| 505 | 8 | |a 2. LIAISON3. ADJUNCTION THEORY; 4. SURFACES IN P4; 5. 3-FOLDS IN P5; 6. EXAMPLES: TWO FAMILIES OF BIRATIONAL CALABI-YAU 3-FOLDS IN P5; 7. OVERVIEW; REFERENCES; Exceptional bundles and moduli spaces of stable sheaves on Pn; 1 Introduction; 2 Logarithmic invariants; 3 Exceptional bundles; 4 The geometry associated to exceptional bundles; 5 Existence theorems; 6 Descriptions of moduli spaces of semi-stable sheaves using exceptional bundles; References; Floer homology and algebraic geometry; 1. INTRODUCTION; 2. FLOER HOMOLOGY AND THE FUKAYA-FLOER THEORY; 3. ELLIPTIC SURFACES | |
| 505 | 8 | |a 4. CURVES OF HIGHER GENUS AND QUANTUM COHOMOLOGYREFERENCES; The Horrocks-Mumford bundle; I Vector bundles on Pn; II Construction methods for the Horrocks-Mumford bundle; Ill First geometric properties of F; IV Classification of HM-surfaces; V The Horrocks-Mumford bundle and abelian surfaces; References; Faisceaux semi-stables et systèmes cohérents; Introduction; 1. L'espace de modules de Simpson; 2. Fibrés déterminants sur Mx(c); 3. Faisceaux semi-stables sur le plan projectif; 4. Systèmes cohérents; 5. Exemples et applications; Bibliographie; The combinatorics of the Verlinde formulas | |
| 546 | |a English. | ||
| 650 | 0 | |a Vector bundles |v Congresses. | |
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| contents | Cover; Title; Copyright; Contents; List of participants; Introduction; On the deformation theory of moduli spaces of vector bundles; 0 Introduction; 1 Deformations of the moduli space; 2 Intermediate Jacobians, Torelli-type theorems; 3 Deformations of the Picard bundle; References; Stable augmented bundles over Riemann surfaces; Introduction; 1. Stability for Augmented Bundles; 2. Analytic Aspects; 3. The Stability Parameters; 4. Moduli spaces; 5. Master spaces; 6. Other Augmented Bundles; References; On surfaces in P4 and 3-folds in P5; 0. INTRODUCTION; 1. CONSTRUCTIONS VIA SYZYGIES 2. LIAISON3. ADJUNCTION THEORY; 4. SURFACES IN P4; 5. 3-FOLDS IN P5; 6. EXAMPLES: TWO FAMILIES OF BIRATIONAL CALABI-YAU 3-FOLDS IN P5; 7. OVERVIEW; REFERENCES; Exceptional bundles and moduli spaces of stable sheaves on Pn; 1 Introduction; 2 Logarithmic invariants; 3 Exceptional bundles; 4 The geometry associated to exceptional bundles; 5 Existence theorems; 6 Descriptions of moduli spaces of semi-stable sheaves using exceptional bundles; References; Floer homology and algebraic geometry; 1. INTRODUCTION; 2. FLOER HOMOLOGY AND THE FUKAYA-FLOER THEORY; 3. ELLIPTIC SURFACES 4. CURVES OF HIGHER GENUS AND QUANTUM COHOMOLOGYREFERENCES; The Horrocks-Mumford bundle; I Vector bundles on Pn; II Construction methods for the Horrocks-Mumford bundle; Ill First geometric properties of F; IV Classification of HM-surfaces; V The Horrocks-Mumford bundle and abelian surfaces; References; Faisceaux semi-stables et systèmes cohérents; Introduction; 1. L'espace de modules de Simpson; 2. Fibrés déterminants sur Mx(c); 3. Faisceaux semi-stables sur le plan projectif; 4. Systèmes cohérents; 5. Exemples et applications; Bibliographie; The combinatorics of the Verlinde formulas |
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| genre | Conference papers and proceedings fast |
| genre_facet | Conference papers and proceedings |
| id | ZDB-4-EBA-ocn837237424 |
| illustrated | Illustrated |
| indexdate | 2024-10-25T16:21:22Z |
| institution | BVB |
| isbn | 9781107362246 1107362245 9780511569319 0511569319 1139885197 9781139885195 1107367158 9781107367159 1107371775 9781107371774 1107368553 9781107368552 1299404847 9781299404847 1107364698 9781107364691 |
| language | English |
| oclc_num | 837237424 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (ix, 345 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Vector bundles in algebraic geometry : Durham, 1993 / edited by N.J. Hitchin, P.E. Newstead, W.M. Oxbury. Cambridge [England] ; New York : Cambridge University Press, 1995. 1 online resource (ix, 345 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 208 Proceedings of the 1993 Durham Symposium. Includes bibliographical references. Print version record. The study of vector bundles over algebraic varieties has been stimulated over the last few years by successive waves of migrant concepts, largely from mathematical physics, whilst retaining its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on Vector Bundles in Algebraic Geometry brought together some of the leading researchers in the field to explore further these interactions. This book is a collection of survey articles by the main speakers at the symposium and presents to the mathematical world an overview of the key areas of research involving vector bundles. Topics covered include those linking gauge theory and geometric invariant theory such as augmented bundles and coherent systems; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal field theory and the moduli spaces of bundles on curves; the Horrocks-Mumford bundle and codimension 2 subvarieties in P4 and P5; exceptional bundles and stable sheaves on projective space. Cover; Title; Copyright; Contents; List of participants; Introduction; On the deformation theory of moduli spaces of vector bundles; 0 Introduction; 1 Deformations of the moduli space; 2 Intermediate Jacobians, Torelli-type theorems; 3 Deformations of the Picard bundle; References; Stable augmented bundles over Riemann surfaces; Introduction; 1. Stability for Augmented Bundles; 2. Analytic Aspects; 3. The Stability Parameters; 4. Moduli spaces; 5. Master spaces; 6. Other Augmented Bundles; References; On surfaces in P4 and 3-folds in P5; 0. INTRODUCTION; 1. CONSTRUCTIONS VIA SYZYGIES 2. LIAISON3. ADJUNCTION THEORY; 4. SURFACES IN P4; 5. 3-FOLDS IN P5; 6. EXAMPLES: TWO FAMILIES OF BIRATIONAL CALABI-YAU 3-FOLDS IN P5; 7. OVERVIEW; REFERENCES; Exceptional bundles and moduli spaces of stable sheaves on Pn; 1 Introduction; 2 Logarithmic invariants; 3 Exceptional bundles; 4 The geometry associated to exceptional bundles; 5 Existence theorems; 6 Descriptions of moduli spaces of semi-stable sheaves using exceptional bundles; References; Floer homology and algebraic geometry; 1. INTRODUCTION; 2. FLOER HOMOLOGY AND THE FUKAYA-FLOER THEORY; 3. ELLIPTIC SURFACES 4. CURVES OF HIGHER GENUS AND QUANTUM COHOMOLOGYREFERENCES; The Horrocks-Mumford bundle; I Vector bundles on Pn; II Construction methods for the Horrocks-Mumford bundle; Ill First geometric properties of F; IV Classification of HM-surfaces; V The Horrocks-Mumford bundle and abelian surfaces; References; Faisceaux semi-stables et systèmes cohérents; Introduction; 1. L'espace de modules de Simpson; 2. Fibrés déterminants sur Mx(c); 3. Faisceaux semi-stables sur le plan projectif; 4. Systèmes cohérents; 5. Exemples et applications; Bibliographie; The combinatorics of the Verlinde formulas English. Vector bundles Congresses. Fibrés vectoriels Congrès. MATHEMATICS Geometry Algebraic. bisacsh Vector bundles fast Vectorbundels. gtt Algebraïsche meetkunde. gtt Fibrés vectoriels Congrès. ram Conference papers and proceedings fast Hitchin, N. J. (Nigel J.), 1946- https://id.oclc.org/worldcat/entity/E39PBJxmCxBTdX6BdX4h8Y4jG3 http://id.loc.gov/authorities/names/n82236550 Newstead, P. E. http://id.loc.gov/authorities/names/n81122794 Oxbury, W. M. http://id.loc.gov/authorities/names/n94115857 LMS Durham Symposium (1993) has work: Vector bundles in algebraic geometry (Text) https://id.oclc.org/worldcat/entity/E39PCFMKww7GgpVqbtWW7xMWwC https://id.oclc.org/worldcat/ontology/hasWork Print version: Vector bundles in algebraic geometry. Cambridge [England] ; New York : Cambridge University Press, 1995 0521498783 (DLC) 94045596 (OCoLC)31740619 London Mathematical Society lecture note series ; 208. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552500 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552500 Volltext |
| spellingShingle | Vector bundles in algebraic geometry : Durham, 1993 / London Mathematical Society lecture note series ; Cover; Title; Copyright; Contents; List of participants; Introduction; On the deformation theory of moduli spaces of vector bundles; 0 Introduction; 1 Deformations of the moduli space; 2 Intermediate Jacobians, Torelli-type theorems; 3 Deformations of the Picard bundle; References; Stable augmented bundles over Riemann surfaces; Introduction; 1. Stability for Augmented Bundles; 2. Analytic Aspects; 3. The Stability Parameters; 4. Moduli spaces; 5. Master spaces; 6. Other Augmented Bundles; References; On surfaces in P4 and 3-folds in P5; 0. INTRODUCTION; 1. CONSTRUCTIONS VIA SYZYGIES 2. LIAISON3. ADJUNCTION THEORY; 4. SURFACES IN P4; 5. 3-FOLDS IN P5; 6. EXAMPLES: TWO FAMILIES OF BIRATIONAL CALABI-YAU 3-FOLDS IN P5; 7. OVERVIEW; REFERENCES; Exceptional bundles and moduli spaces of stable sheaves on Pn; 1 Introduction; 2 Logarithmic invariants; 3 Exceptional bundles; 4 The geometry associated to exceptional bundles; 5 Existence theorems; 6 Descriptions of moduli spaces of semi-stable sheaves using exceptional bundles; References; Floer homology and algebraic geometry; 1. INTRODUCTION; 2. FLOER HOMOLOGY AND THE FUKAYA-FLOER THEORY; 3. ELLIPTIC SURFACES 4. CURVES OF HIGHER GENUS AND QUANTUM COHOMOLOGYREFERENCES; The Horrocks-Mumford bundle; I Vector bundles on Pn; II Construction methods for the Horrocks-Mumford bundle; Ill First geometric properties of F; IV Classification of HM-surfaces; V The Horrocks-Mumford bundle and abelian surfaces; References; Faisceaux semi-stables et systèmes cohérents; Introduction; 1. L'espace de modules de Simpson; 2. Fibrés déterminants sur Mx(c); 3. Faisceaux semi-stables sur le plan projectif; 4. Systèmes cohérents; 5. Exemples et applications; Bibliographie; The combinatorics of the Verlinde formulas Vector bundles Congresses. Fibrés vectoriels Congrès. MATHEMATICS Geometry Algebraic. bisacsh Vector bundles fast Vectorbundels. gtt Algebraïsche meetkunde. gtt Fibrés vectoriels Congrès. ram |
| title | Vector bundles in algebraic geometry : Durham, 1993 / |
| title_auth | Vector bundles in algebraic geometry : Durham, 1993 / |
| title_exact_search | Vector bundles in algebraic geometry : Durham, 1993 / |
| title_full | Vector bundles in algebraic geometry : Durham, 1993 / edited by N.J. Hitchin, P.E. Newstead, W.M. Oxbury. |
| title_fullStr | Vector bundles in algebraic geometry : Durham, 1993 / edited by N.J. Hitchin, P.E. Newstead, W.M. Oxbury. |
| title_full_unstemmed | Vector bundles in algebraic geometry : Durham, 1993 / edited by N.J. Hitchin, P.E. Newstead, W.M. Oxbury. |
| title_short | Vector bundles in algebraic geometry : |
| title_sort | vector bundles in algebraic geometry durham 1993 |
| title_sub | Durham, 1993 / |
| topic | Vector bundles Congresses. Fibrés vectoriels Congrès. MATHEMATICS Geometry Algebraic. bisacsh Vector bundles fast Vectorbundels. gtt Algebraïsche meetkunde. gtt Fibrés vectoriels Congrès. ram |
| topic_facet | Vector bundles Congresses. Fibrés vectoriels Congrès. MATHEMATICS Geometry Algebraic. Vector bundles Vectorbundels. Algebraïsche meetkunde. Conference papers and proceedings |
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