论文标题
周期域的P-ADIC ETALE共同学
p-adic etale cohomology of period domains
论文作者
论文摘要
我们计算了P-Torsion和P-Adic eTale共同体，在基本的等级还原基本的基本等晶体的情况下，对局部领域的周期域的紧凑支持。对于P-Torsion情况，我们遵循Orlik在他对L-Torsion etale共同体的计算中使用的方法，将作为关键的新成分计算了P-ADIC组的Mod P Permarized Steinberg表示之间的EXT组计算。对于P-ADIC案例，我们不会像Orlik一样紧凑地使用Huber对Etale共同体的定义，因为它似乎给出了太大的空间。取而代之的是，我们使用持续的依托共同学和紧凑的支持。
We compute the p-torsion and p-adic etale cohomologies with compact support of period domains over local fields in the case of basic isocrystals for quasi-split reductive groups. For the p-torsion case, we follow the method used by Orlik in his computations of the l-torsion etale cohomology using as a key new ingredient the computation of Ext groups between mod p generalized Steinberg representations of p-adic groups. For the p-adic case, we don't use Huber's definition of etale cohomology with compact support as Orlik did since it seems to give spaces that are much too big; instead we use continuous etale cohomology with compact support.
