Overholonomicity of overconvergent \$F\$-isocrystals over smooth varieties | Annals of Mathematics

Abstract 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.

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数学年刊（Annals of Mathematics）

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