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arXiv:0803.2105 [math.AG]AbstractReferencesReviewsResources

Overholonomicity of overconvergent $F$-isocrystals over smooth varieties

Daniel Caro, Nobuo Tsuzuki

Published 2008-03-14Version 1

We prove the overholonomicity of overconvergent $F$-isocrystals over smooth varieties. This implies that the notions of overholonomicity and devissability in overconvergent $F$-isocrystals are equivalent. Then the overholonomicity is stable under tensor products. So, the overholonomicity gives a $p$-adic cohomology stable under Grothendieck's cohomological operations.

Comments: 41 pages
Categories: math.AG
Subjects: 14F30
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