Compactification of Siegel Moduli Schemes
1st Edition
Published on 11. July 2013
978-1-107-10794-6 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
File size
7958,15 MB
ISBN-13
978-1-107-10794-6 (9781107107946)
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Schweitzer Classification
Other editions
Additional editions
Ching-Li Chai
Compactification of Siegel Moduli Schemes
Book
12/1985
Cambridge University Press
€91.10
Shipment within 15-20 days
Content
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.
