论文标题
hodge类型的shimura品种的eichler-shimura关系
Eichler-Shimura Relations for Shimura Varieties of Hodge Type
论文作者
论文摘要
我们展示了Eicher-shimura的关系,以了解霍奇类型的某些Shimura品种,在这种情况下证明了Blasius和Rogawski的猜想。我们使用抛物线降低策略在Hecke作用上对仿射Deligne-lusztig品种不可还原组成部分进行展示。
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.