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On a Tower of Good Affinoids in X0(pn) and the Inertia Action on the Reduction
Tsushima, Takahiro
92358
415
Modular curve
reduction of affinoid
inertia action
Coleman and McMurdy calculate the stable reduction of X0(p3) for any prime number p ≥ 13, on the basis of rigid geometry in [CM]. Further, in [CM2], they compute also the inertia action on the stable reduction of X0(p3). In [T], we have determined the stable model of X0(p4) for any prime p ≥ 13. In this paper, we calculate the reductions of some “good” affinoids in X0(pn) and determine the inertia action on them. As a result, we study the middle cohomology of the reductions in terms of the type theory for GL2(Qp) given in [BH].
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
2016-01-25
application/pdf
Journal of mathematical sciences, the University of Tokyo
1
23
289
347
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/39953/files/jms230102.pdf
eng