Riemann surfaces of infinite genus:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2003
|
| Series: | CRM monograph series
20 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII; 296 S. |
| ISBN: | 082183357X |
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Record in the Search Index
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| adam_text | Contents
Preface vii
Chapter 1. L2 Cohomology, Exhaustions with Finite Charge and Theta Series 1
Introduction 1
1. Square Integrable One Forms 3
2. Exhaustion Functions with Finite Charge 16
3. Parabolic Surfaces 25
4. Theta Functions 42
A. Summary of Results from Chapter 1 57
Chapter 2. The Torelli Theorem 63
Introduction 63
5. Geometric Hypotheses 66
6. Pointwise Bounds on Differential Forms 79
7. Zeroes of the Theta Function 110
8. Riemann s Vanishing Theorem 124
9. The Geometry of the Theta Divisor 134
10. Hyperelliptic Theta Divisors 152
11. The Torelli Theorem 162
Chapter 3. Examples 169
Introduction 169
12. Hyperelliptic Surfaces 172
13. Heat Curves: Basic Properties 180
14. Heat Curves: Asymptotics 194
15. Heat Curves: Verification of the Geometric Hypotheses 216
16. Fermi Curves: Basic Properties 221
17. Fermi Curves: Asymptotics 223
18. Fermi Curves: Verification of the Geometric Hypotheses 240
B. A Quantitative Morse Lemma 245
Chapter 4. The Kadomcev Petviashvilli Equation 249
Introduction 249
19. The Formula for the Solution 250
20. Approximations 254
21. Real Periodic Potentials 277
Bibliography 295
V
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| id | DE-604.BV019362810 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:58:32Z |
| institution | BVB |
| isbn | 082183357X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012826496 |
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| physical | VII; 296 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Math. Soc. |
| record_format | marc |
| series2 | CRM monograph series |
| spelling | Feldman, Joel Verfasser aut Riemann surfaces of infinite genus Joel Feldman ; Horst Knörrer ; Eugene Trubowitz Providence, RI American Math. Soc. 2003 VII; 296 S. txt rdacontent n rdamedia nc rdacarrier CRM monograph series 20 Riemann surfaces Riemannsche Fläche (DE-588)4049991-1 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 s DE-604 Knörrer, Horst Verfasser aut Trubowitz, Eugene Verfasser aut Centre de Recherches Mathématiques <Montréal> CRM monograph series 20 (DE-604)BV007928388 20 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012826496&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Feldman, Joel Knörrer, Horst Trubowitz, Eugene Riemann surfaces of infinite genus Riemann surfaces Riemannsche Fläche (DE-588)4049991-1 gnd |
| subject_GND | (DE-588)4049991-1 |
| title | Riemann surfaces of infinite genus |
| title_auth | Riemann surfaces of infinite genus |
| title_exact_search | Riemann surfaces of infinite genus |
| title_full | Riemann surfaces of infinite genus Joel Feldman ; Horst Knörrer ; Eugene Trubowitz |
| title_fullStr | Riemann surfaces of infinite genus Joel Feldman ; Horst Knörrer ; Eugene Trubowitz |
| title_full_unstemmed | Riemann surfaces of infinite genus Joel Feldman ; Horst Knörrer ; Eugene Trubowitz |
| title_short | Riemann surfaces of infinite genus |
| title_sort | riemann surfaces of infinite genus |
| topic | Riemann surfaces Riemannsche Fläche (DE-588)4049991-1 gnd |
| topic_facet | Riemann surfaces Riemannsche Fläche |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012826496&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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