Eichler-Shimura Relations for Shimura Varieties of Hodge Type
arXiv:2006.11745
Abstract
We show Eicher-Shimura relations for some Shimura varieties of Hodge type, proving a conjecture of Blasius and Rogawski in this case. We show this using a parabolic reduction strategy on the Hecke action on irreducible components of affine Deligne-Lusztig varieties.
arXiv commentMajor revision to correct error in previous version; main theorem weakened
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