Cycles on Siegel 3-folds and derivatives of Eisenstein series release_rgm4ce3nqnf4dh7v332wc666x4

by S. Kudla, M. Rapoport

Released as a report .

1997  

Abstract

We consider the Siegel modular variety of genus 2 and a p-integral model of it for a good prime p>2, which parametrizes principally polarized abelian varieties of dimension two with a level structure. We consider cycles on this model which are characterized by the existence of certain special endomorphisms, and their intersections. We characterize that part of the intersection which consists of isolated points in characteristic p only. Furthermore, we relate the (naive) intersection multiplicities of the cycles at isolated points to special values of derivatives of certain Eisenstein series on the metaplectic group in 8 variables.
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Type  report
Stage   submitted
Date   1997-11-20
Version   v1
Language   en ?
Number  971120.rapoport.1
arXiv  alg-geom/9711025v1
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