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The residual monodromy for the Dwork family in even characteristic and its applications to Galois representations

The residual monodromy for the Dwork family in even characteristic and its applications to Galois representations

来源:Arxiv_logoArxiv
英文摘要

We study the residual monodromy representations associated to the Dwork family in characteristic two. Various applications involving 2-adic and mod 2 Galois representations are discussed. Combining the author's previous work with Tsuzuki and recent results of Boxer, Calegari, Gee, and Pilloni, we also prove the automorphy of certain rank 4 symplectic motives over a totally real field, arising from the Dwork quintic family, under suitable conditions.

Takuya Yamauchi

数学

Takuya Yamauchi.The residual monodromy for the Dwork family in even characteristic and its applications to Galois representations[EB/OL].(2025-07-15)[2025-07-23].https://arxiv.org/abs/2506.23938.点此复制

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