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Compactification of Siegel Moduli Schemes : London Mathematical Society Lecture Note Series - Ching-Li Chai

Compactification of Siegel Moduli Schemes

London Mathematical Society Lecture Note Series

By: Ching-Li Chai (Editor)

Paperback

Published: 10th February 1986
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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.

Introduction
Review of the Siegel moduli schemes
Analytic quotient construction of families of degenerating abelian varieties
Test families as co-ordinates at the boundary
Propagation of Tai's theorem to positive characteristics
Application to Siegel modular forms
Appendixes, Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521312530
ISBN-10: 0521312531
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 344
Published: 10th February 1986
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.0
Weight (kg): 0.51