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- W4283695413 abstract "In this paper, we study finite projective differential modules on $p$-adic polyannuli satisfying the Robba condition. Christol and Mebkhout proved the decomposition theorem (the $p$-adic Fuchs theorem) of such differential modules on one dimensional $p$-adic annuli under certain non-Liouvilleness assumption and Gachet generalized it to higher dimensional cases. On the other hand, Kedlaya proved a generalization of the $p$-adic Fuchs theorem in one dimensional case. We prove Kedlaya's generalized version of $p$-adic Fuchs theorem in higher dimensional cases." @default.
- W4283695413 created "2022-06-30" @default.
- W4283695413 creator A5015246421 @default.
- W4283695413 date "2022-06-27" @default.
- W4283695413 modified "2023-10-15" @default.
- W4283695413 title "On generalized Fuchs theorem over $p$-adic polyannuli" @default.
- W4283695413 doi "https://doi.org/10.48550/arxiv.2206.13065" @default.
- W4283695413 hasPublicationYear "2022" @default.
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