Compactification of Siegel Moduli Schemes

by Ching-Li Chai (Editor)

Overview

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.

Product Details

ISBN-13:	9780521312530
Publisher:	Cambridge University Press
Publication date:	12/12/1985
Series:	London Mathematical Society Lecture Note Series , #107
Pages:	344
Product dimensions:	6.02(w) x 9.06(h) x 0.87(d)

Table of 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, Bibliography; Index.