Action of Hecke operators on cohomology of modular curves of level two

作者:Imai Naoki*; Tsushima Takahiro
来源:Mathematische Zeitschrift, 2013, 273(3-4): 1139-1159.
DOI:10.1007/s00209-012-1047-3

摘要

We calculate the action of the p-th Hecke operator and the inertia group on the a%26quot;%26quot;-adic cohomology of modular curve of level I%26quot;(0)(p (2)) under the assumption p a parts per thousand yen 13, using only a local geometrical method. We also calculate the action of the p-th Hecke operator and the inertia group on the a%26quot;%26quot;-adic cohomology of the Lubin-Tate space of the same level over the maximal unramified extension of .

  • 出版日期2013-4

全文