Meromorphic functions and projective curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1999
|
| Schriftenreihe: | Mathematics and its applications
464 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 201 S. |
| ISBN: | 0792355059 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804142006897737728 |
|---|---|
| adam_text | Table of Contents
Preface vii
Chapter 1 Foundational Material 1
1. L Basic Sheaf Theory 1
1.2 Sheaf Cohomology 6
1.3 Cech Cohomology with Coefficients in a Sheaf 10
1.4 Divisors and the Riemann-Roch Theorem 13
1.4 Weierstrass Points 21
1.5 The Jacobian Variety 25
Chapter 2 Analytic and Algebraic Families 37
2.1 Families and Parameter Spaces 37
2.2 Algebraic Families 43
2.3 The Hilbert Polynomial 50
Chapter 3 Meromorphic Functions 55
3.1 Meromorphic Functions of Higher Degree 56
3.2 Families of Meromorphic Functions 63
3.3 Base-Point-Free Linear Series 79
3.4 Canonical Curves and Quadrics 89
3.5 Associated Curves 94
Chapter 4 Brill-Noether Theory 99
4.1 Determinantal Varieties 99
4.2 More Sheaves and Vector Bundles 108
4.3 The Brill-Noether Theorem 113
Chapter 5 Projective Differential Geometry 125
5.1 The Method of Moving Frames 125
5.2 The Dual Variety and the Tangential Variety 144
5.3 The Segre Variety and the Grassmannian 157
Chapter 6 Metric Geometry of Curves 169
6.1 Metric Structure Equations 169
6.2 Minimal Surfaces in a Kahler Manifold 184
6.3 Associated Branched Minimal Surfaces 193
Bibliography 197
Index 199
|
| any_adam_object | 1 |
| author | Yang, Kichoon |
| author_facet | Yang, Kichoon |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.982 |
| dewey-search | 515.982 |
| dewey-sort | 3515.982 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T22:24:55Z |
| institution | BVB |
| isbn | 0792355059 |
| language | English |
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| physical | 201 S. |
| publishDate | 1999 |
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| publisher | Kluwer |
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| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Yang, Kichoon Verfasser aut Meromorphic functions and projective curves by Kichoon Yang Dordrecht [u.a.] Kluwer 1999 201 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 464 Mathematics and its applications 464 (DE-604)BV008163334 464 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019644196&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yang, Kichoon Meromorphic functions and projective curves Mathematics and its applications |
| title | Meromorphic functions and projective curves |
| title_auth | Meromorphic functions and projective curves |
| title_exact_search | Meromorphic functions and projective curves |
| title_full | Meromorphic functions and projective curves by Kichoon Yang |
| title_fullStr | Meromorphic functions and projective curves by Kichoon Yang |
| title_full_unstemmed | Meromorphic functions and projective curves by Kichoon Yang |
| title_short | Meromorphic functions and projective curves |
| title_sort | meromorphic functions and projective curves |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019644196&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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