Advances in moduli theory / Yuji Shimizu, Kenji Ueno ; translated by Yuji Shimizu, Kenji Ueno.

Format:

Book

Author/Creator:

Ueno, Kenji, 1945-

Contributor:

Shimizu, Y. (Yūji), 1958-

Series:

Translations of mathematical monographs 0065-9282 ; v. 206.

Iwanami series in modern mathematics

Translations of mathematical monographs, 0065-9282 ; v. 206

Standardized Title:

Mojurai riron 3. English

Language:

English

Japanese

Subjects (All):

Moduli theory.

Physical Description:

xix, 300 pages : illustrations ; 22 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, [2002]

Contents:

Chapter 1. Kodaira-Spencer Mapping 1

1.1. Deformation of complex structures 2

1.2. Infinitesimal deformation of a principal bundle 31

Chapter 2. Torelli's Theorem 35

2.1. Complex torus and abelian variety 36

2.2. Jacobian varieties 56

2.3. Torelli's theorem 78

2.4. Period mappings 91

Chapter 3. Period Mappings and Hodge Theory 101

3.1. Hodge Structure and period domain 102

3.2. Period mappings and Torelli problems 130

3.3. Period mappings and mixed Hodge structure 149

Chapter 4. Conformal Field Theory 177

4.1. Stable pointed curves and their moduli 182

4.2. Conformal blocks 193

4.3. Sheaf of conformal blocks and connection 232

4.4. KZ equations 256

4.5. Verlinde formula 260

Prospects and Remaining Problems 279.

Notes:

Authors' names on t.p. of translation reversed from original.

Includes bibliographical references (pages 291-295) and index.

ISBN:

0821821563

OCLC:

47716471