Overholonomicity of overconvergent F -isocrystals over smooth varieties

• Autores: Daniel Caro, Nobuo Tsuzuki
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 176, Nº 2, 2012, págs. 747-813
• Idioma: inglés
• DOI: 10.4007/annals.2012.176.2.2
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• Resumen

  • 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