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Compactification of Siegel moduli schemes / Ching-Li Chai.

By: Material type: TextTextSeries: London Mathematical Society lecture note series ; 107.Publisher: Cambridge : Cambridge University Press, 1985Description: 1 online resource (xvi, 326 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511721298 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 515.7 19
LOC classification:
  • QA331 .C4395 1985
Online resources:
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.
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 algebraic geometry, algebraic number theory or automorphic forms.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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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