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- W4300540263 abstract "Let $k$ be a perfect field of characteristic $p >0$, $U$ be a variety over $k$ and $F$ be a power of Frobenius. We construct the category of overholonomic arithmetical ($F$-)$D$-modules over $U$ and the category of overholonomic ($F$-)complexes over $U$. We prove that overholonomic complexes over $U$ are stables by direct images, inverse images, extraordinary inverse images, extraordinary direct images, dual functors. Moreover, in the smooth case, we check that unit-root overconvergent $F$-isocrystals are overholonomic. In particular, they are holonomic." @default.
- W4300540263 created "2022-10-03" @default.
- W4300540263 creator A5027460182 @default.
- W4300540263 date "2005-02-21" @default.
- W4300540263 modified "2023-09-25" @default.
- W4300540263 title "Overholonomic arithmetical D-modules" @default.
- W4300540263 doi "https://doi.org/10.48550/arxiv.math/0502442" @default.
- W4300540263 hasPublicationYear "2005" @default.
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