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On some special types of Fontaine sheaves and their properties

Radu Gaba ()
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Radu Gaba: Institute of Mathematics “Simion Stoilow” of the Romanian Academy

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 5, 585-612

Abstract: Abstract In this paper we construct special types of Fontaine sheaves $$\mathbb{A}_{\max }$$ and $$\mathbb{A}_{\max }^\nabla$$ and we study their properties, most importantly their localizations over small affines. They will be used in sequel work to prove in a different manner a comparison isomorphism theorem of Faltings [7]. We conclude with making several conjectures.

Keywords: p-adic periods; Fontaine sheaves; crystalline representation; p-adic cohomology; crystalline cohomology (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0153-4

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