Moduli of Riemann surfaces, real algebraic curves, and their superanalogs

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Moduli of Riemann surfaces, real algebraic curves, and their superanalogs / S.M. Natanzon ; translated by Sergei Lando

資料種別:

図書

出版情報:

Providence, R.I. : American Mathematical Society, c2004

形態:

viii, 160 p. ; 26 cm

シリーズ名:

Translations of mathematical monographs ; v. 225 <BA00080309>

著者名:

ISBN:

9780821835944 [0821835947]

書誌ID:

BA68321597

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Модули римановых поверхностей и вещественных алгебраических кривых и их супераналоги
Moduli rimanovykh poverkhnosteĭ i veshchestvennykh algebraicheskikh krivykh i ikh superanalogi

注記:

Includes bibliographical references (p. 153-157) and index

主題:

Curves, Algebraic; Riemann surfaces

言語:

英語

目次情報:

Introduction

Moduli of Riemann Surfaces, Hurwitz Type Spaces and Their Superanalogs / Chapter 1.：

Fuchsian groups and their sequential generators / 1.：

The geometry of Fuchsian groups / 2.：

Free Fuchsian groups of rank 2 / 3.：

Frike-Klein-Teichmuller type spaces / 4.：

Moduli of Riemann surfaces / 5.：

The space of holomorphic morphisms of Riemann surfaces / 6.：

Lifting Fuchsian groups to SL(2, R) / 7.：

Topological classification of Arf functions and pairs of Arf functions / 8.：

Topological classification of independent Arf functions on compact surfaces / 9.：

The moduli space of spinor framings / 10.：

Super-Fuchsian groups, super-Riemann surfaces and their topological types / 11.：

Moduli of super-Riemann surfaces / 12.：

N = 2 super-Fuchsian groups. N = 2 super-Riemann surfaces and their topological invariants / 13.：

Moduli of N = 2 super-Riemann surfaces / 14.：

Superholomorphic morphisms of super-Riemann surfaces / 15.：

Moduli of Real Algebraic Curves and Their Superanalogs. Differentials, Spinors, and Jacobians of Real Curves / Chapter 2.：

Topological types of real algebraic curves

Moduli of real algebraic curves

Arf functions on real algebraic curves

Lifting real Fuchsian groups

Spinors of rank 1 on real algebraic curves

Holomorphic differentials on real algebraic curves

Analogs of Fourier series and the Sturm-Hurwitz theorem on real algebraic curves of arbitrary genus

Jacobians and [theta]-functions of real algebraic curves

Prymians of real algebraic curves

Uniformization of real algebraic curves by Schottky groups

Moduli spaces of spinor bundles of rank 1 on real algebraic curves

Real algebraic N = 1 supercurves and their moduli space

Real algebraic N = 2 supercurves

Moduli spaces of real algebraic N = 2 supercurves

Spaces of Meromorphic Functions on Complex and Real Algebraic Curves / Chapter 3.：

Coverings with simple critical points

Coverings with a single degenerate critical value

Spaces of complex meromorphic functions

Topological structure of real meromorphic functions

Connected components of spaces of real meromorphic functions

Bibliography

Index

Introduction

Moduli of Riemann Surfaces, Hurwitz Type Spaces and Their Superanalogs / Chapter 1.：

Fuchsian groups and their sequential generators / 1.：

The geometry of Fuchsian groups / 2.：

Free Fuchsian groups of rank 2 / 3.：

Frike-Klein-Teichmuller type spaces / 4.：

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