Compactification of Siegel Moduli Schemes - Brossura

Libro 87 di 387: London Mathematical Society Lecture Notes

Chai, Ching-Li

 
9780521312530: Compactification of Siegel Moduli Schemes

Sinossi

The main result of this monograph is to prove the existence of the toroidal compactification over Z(1/2).

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Descrizione del libro

The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic 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 with sufficient background material for courses in algebraic geometry, algebraic number theory or automorphic forms.

Contenuti

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.

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