Compactification of Siegel moduli schemes / Ching-Li Chai.

Format:

Book

Author/Creator:

Chai, Ching-Li, author.

Series:

London Mathematical Society lecture note series ; 107.

London Mathematical Society lecture note series ; 107

Language:

English

Subjects (All):

Moduli theory.

Functions, Theta.

Forms, Modular.

Physical Description:

1 online resource (xvi, 326 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1985.

Summary:

The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic geometry. The main result of this monograph is to prove the existence of the toroidal compactification over Z (1/2). This result should have further applications and is presented here with sufficient background material to make the book suitable for seminar courses in algebraic geometry, algebraic number theory or automorphic forms.

Contents:

Introduction

1. Review of the Siegel moduli schemes

2. Analytic quotient construction of families of degenerating abelian varieties

3. Test families as co-ordinates at the boundary

4. Propagation of Tai's theorem to positive characteristics

5. Application to Siegel modular forms

Appendixes.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Bibliography: p. 315-322.

ISBN:

1-139-88417-4

1-107-09078-4

1-107-10241-3

1-107-09990-0

1-107-08767-8

1-107-09391-0

0-511-72129-3