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Correspondences for Hecke rings and $l$-adic cohomology groups on smooth compactifications of Siegel modular varieties
Introduction.We report that the Hecke rings act on the/-adic coho- mology groups of suitable non-singular projective toroidal compactifica- tions of the higher dimensional modular varieties.We extend the fixed point theory of Lefschetz to the correspondences for the Hecke rings on those compactifications.We treat here the Siegel modular case.For details see …