Compactification of Siegel Moduli Schemes
Compactification of Siegel Moduli Schemes
Ching-Li Chai
July 2013
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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.
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July 2013Adobe eBook Reader
9781107107946
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.
