Moduli of Riemann surfaces, real algebraic curves, and their superanalogs:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, RI
American Mathematical Society
2004
|
| Series: | Translations of Mathematical Monographs
225 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index. - Aus dem Russischen übersetzt |
| Physical Description: | VIII, 160 Seiten graph. Darst. |
| ISBN: | 0821835947 |
Staff View
MARC
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| 240 | 1 | 0 | |a Moduli rimanovych poverchnostej i vesestvennych algebraiceskich i ich superanalogi |
| 245 | 1 | 0 | |a Moduli of Riemann surfaces, real algebraic curves, and their superanalogs |c S. M. Natanzon |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2004 | |
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| 490 | 1 | |a Translations of Mathematical Monographs |v 225 | |
| 500 | |a Includes bibliographical references and index. - Aus dem Russischen übersetzt | ||
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| 650 | 4 | |a Riemann, Surfaces de | |
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Record in the Search Index
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| adam_text | Contents
Introduction 1
Chapter 1. Moduli of Riemann Surfaces, Hurwitz Type Spaces and
Their Superanalogs 11
1. Fuchsian groups and their sequential generators 11
2. The geometry of Fuchsian groups 14
3. Free Fuchsian groups of rank 2 19
4. Frike Klein Teichmiiller type spaces 24
5. Moduli of Riemann surfaces 29
6. The space of holomorphic morphisms of Riemann surfaces 31
7. Lifting Fuchsian groups to SL(2, E) 35
8. Topological classification of Arf functions and pairs of Arf
functions 40
9. Topological classification of independent Arf functions on
compact surfaces 43
10. The moduli space of spinor framings 46
11. Super Fuchsian groups, super Riemann surfaces and their
topological types 48
12. Moduli of super Riemann surfaces 50
13. N = 2 super Fuchsian groups. N = 2 super Riemann surfaces
and their topological invariants 54
14. Moduli of N = 2 super Riemann surfaces 56
15. Superholomorphic morphisms of super Riemann surfaces 60
Chapter 2. Moduli of Real Algebraic Curves and Their Superanalogs.
Differentials, Spinors, and Jacobians of Real Curves 63
1. Topological types of real algebraic curves 63
2. Moduli of real algebraic curves 67
3. Arf functions on real algebraic curves 71
4. Lifting real Fuchsian groups 75
5. Spinors of rank 1 on real algebraic curves 79
6. Holomorphic differentials on real algebraic curves 83
7. Analogs of Fourier series and the Sturm Hurwitz theorem on
real algebraic curves of arbitrary genus 86
8. Jacobians and ^ functions of real algebraic curves 89
9. Prymians of real algebraic curves 93
10. Uniformization of real algebraic curves by Schottky groups 97
vii
viii CONTENTS
11. Moduli spaces of spinor bundles of rank 1 on real algebraic
curves 100
12. Real algebraic N = 1 supercurves and their moduli space 105
13. Real algebraic N = 2 supercurves 109
14. Moduli spaces of real algebraic N = 2 supercurves 112
Chapter 3. Spaces of Meromorphic Functions on Complex and Real
Algebraic Curves 117
1. Coverings with simple critical points 117
2. Coverings with a single degenerate critical value 122
3. Spaces of complex meromorphic functions 127
4. Topological structure of real meromorphic functions 131
5. Connected components of spaces of real meromorphic functions 140
Bibliography 153
Index 159
|
| adam_txt |
Contents
Introduction 1
Chapter 1. Moduli of Riemann Surfaces, Hurwitz Type Spaces and
Their Superanalogs 11
1. Fuchsian groups and their sequential generators 11
2. The geometry of Fuchsian groups 14
3. Free Fuchsian groups of rank 2 19
4. Frike Klein Teichmiiller type spaces 24
5. Moduli of Riemann surfaces 29
6. The space of holomorphic morphisms of Riemann surfaces 31
7. Lifting Fuchsian groups to SL(2, E) 35
8. Topological classification of Arf functions and pairs of Arf
functions 40
9. Topological classification of independent Arf functions on
compact surfaces 43
10. The moduli space of spinor framings 46
11. Super Fuchsian groups, super Riemann surfaces and their
topological types 48
12. Moduli of super Riemann surfaces 50
13. N = 2 super Fuchsian groups. N = 2 super Riemann surfaces
and their topological invariants 54
14. Moduli of N = 2 super Riemann surfaces 56
15. Superholomorphic morphisms of super Riemann surfaces 60
Chapter 2. Moduli of Real Algebraic Curves and Their Superanalogs.
Differentials, Spinors, and Jacobians of Real Curves 63
1. Topological types of real algebraic curves 63
2. Moduli of real algebraic curves 67
3. Arf functions on real algebraic curves 71
4. Lifting real Fuchsian groups 75
5. Spinors of rank 1 on real algebraic curves 79
6. Holomorphic differentials on real algebraic curves 83
7. Analogs of Fourier series and the Sturm Hurwitz theorem on
real algebraic curves of arbitrary genus 86
8. Jacobians and ^ functions of real algebraic curves 89
9. Prymians of real algebraic curves 93
10. Uniformization of real algebraic curves by Schottky groups 97
vii
viii CONTENTS
11. Moduli spaces of spinor bundles of rank 1 on real algebraic
curves 100
12. Real algebraic N = 1 supercurves and their moduli space 105
13. Real algebraic N = 2 supercurves 109
14. Moduli spaces of real algebraic N = 2 supercurves 112
Chapter 3. Spaces of Meromorphic Functions on Complex and Real
Algebraic Curves 117
1. Coverings with simple critical points 117
2. Coverings with a single degenerate critical value 122
3. Spaces of complex meromorphic functions 127
4. Topological structure of real meromorphic functions 131
5. Connected components of spaces of real meromorphic functions 140
Bibliography 153
Index 159 |
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| discipline | Mathematik |
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| id | DE-604.BV021241778 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:31:26Z |
| indexdate | 2024-07-09T20:28:36Z |
| institution | BVB |
| isbn | 0821835947 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014284470 |
| oclc_num | 55587670 |
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| owner | DE-19 DE-BY-UBM DE-11 DE-188 |
| owner_facet | DE-19 DE-BY-UBM DE-11 DE-188 |
| physical | VIII, 160 Seiten graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Translations of Mathematical Monographs |
| series2 | Translations of Mathematical Monographs |
| spelling | Natanzon, S. M. 1948- Verfasser (DE-588)1146583125 aut Moduli rimanovych poverchnostej i vesestvennych algebraiceskich i ich superanalogi Moduli of Riemann surfaces, real algebraic curves, and their superanalogs S. M. Natanzon Providence, RI American Mathematical Society 2004 VIII, 160 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Translations of Mathematical Monographs 225 Includes bibliographical references and index. - Aus dem Russischen übersetzt Algebraische Kurve swd Courbes algébriques Curvas algébricas larpcal Riemann, Surfaces de Riemannsche Fläche swd Superfícies de riemann larpcal Riemann surfaces Curves, Algebraic Translations of Mathematical Monographs 225 (DE-604)BV000002394 225 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014284470&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Natanzon, S. M. 1948- Moduli of Riemann surfaces, real algebraic curves, and their superanalogs Translations of Mathematical Monographs Algebraische Kurve swd Courbes algébriques Curvas algébricas larpcal Riemann, Surfaces de Riemannsche Fläche swd Superfícies de riemann larpcal Riemann surfaces Curves, Algebraic |
| title | Moduli of Riemann surfaces, real algebraic curves, and their superanalogs |
| title_alt | Moduli rimanovych poverchnostej i vesestvennych algebraiceskich i ich superanalogi |
| title_auth | Moduli of Riemann surfaces, real algebraic curves, and their superanalogs |
| title_exact_search | Moduli of Riemann surfaces, real algebraic curves, and their superanalogs |
| title_exact_search_txtP | Moduli of Riemann surfaces, real algebraic curves, and their superanalogs |
| title_full | Moduli of Riemann surfaces, real algebraic curves, and their superanalogs S. M. Natanzon |
| title_fullStr | Moduli of Riemann surfaces, real algebraic curves, and their superanalogs S. M. Natanzon |
| title_full_unstemmed | Moduli of Riemann surfaces, real algebraic curves, and their superanalogs S. M. Natanzon |
| title_short | Moduli of Riemann surfaces, real algebraic curves, and their superanalogs |
| title_sort | moduli of riemann surfaces real algebraic curves and their superanalogs |
| topic | Algebraische Kurve swd Courbes algébriques Curvas algébricas larpcal Riemann, Surfaces de Riemannsche Fläche swd Superfícies de riemann larpcal Riemann surfaces Curves, Algebraic |
| topic_facet | Algebraische Kurve Courbes algébriques Curvas algébricas Riemann, Surfaces de Riemannsche Fläche Superfícies de riemann Riemann surfaces Curves, Algebraic |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014284470&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
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