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Compactification of Siegel Moduli Schemes -

Compactification of Siegel Moduli Schemes

Ching-Li Chai (Herausgeber)

Buch | Softcover
344 Seiten
1985
Cambridge University Press (Verlag)
978-0-521-31253-0 (ISBN)
CHF 109,95 inkl. MwSt
The main result of this monograph is to prove the existence of the toroidal compactification over Z(1/2).
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; 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.

Erscheint lt. Verlag 12.12.1985
Reihe/Serie London Mathematical Society Lecture Note Series
Verlagsort Cambridge
Sprache englisch
Maße 153 x 230 mm
Gewicht 565 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-521-31253-1 / 0521312531
ISBN-13 978-0-521-31253-0 / 9780521312530
Zustand Neuware
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