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Compactification of Siegel moduli schemes

Author: Ching-Li Chai
Publisher: Cambridge ; New York : Cambridge University Press, 1985.
Series: London Mathematical Society lecture note series, 107.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Ching-Li Chai
ISBN: 0521312531 9780521312530
OCLC Number: 12103868
Notes: Originally presented as the author's thesis (Harvard University, 1984).
Description: xvi, 326 p. ; 23 cm.
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.
Series Title: London Mathematical Society lecture note series, 107.
Responsibility: Ching-Li Chai.
More information:

Abstract:

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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