منابع مشابه
Relative p-adic Hodge theory, I: Foundations
We initiate a new approach to relative p-adic Hodge theory based on systematic use of Witt vector constructions and nonarchimedean analytic geometry in the style of Berkovich. In this paper, we give a thorough development of φ-modules over a relative Robba ring associated to a perfect Banach ring of characteristic p, including the relationship between these objects and étale Zp-local systems an...
متن کاملSeminar on p-adic Hodge Theory
3 Construction of BdR 4 3.1 Witt Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.2 Lifting to a Perfect Ring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.3 Carrying Out the Lifts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.4 Final Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
متن کاملStringy Hodge Numbers and P-adic Hodge Theory
Stringy Hodge numbers are introduced by Batyrev for a mathematical formulation of mirror symmetry. However, since the stringy Hodge numbers of an algebraic variety are defined by choosing a resolution of singularities, the well-definedness is not clear from the definition. Batyrev proved the well-definedness by using the theory of motivic integration developed by Kontsevich, Denef-Loeser. The a...
متن کاملSome new directions in p-adic Hodge theory
We recall some basic constructions from p-adic Hodge theory, then describe some recent results in the subject. We chiefly discuss the notion of B-pairs, introduced recently by Berger, which provides a natural enlargement of the category of p-adic Galois representations. (This enlargement, in a different form, figures in recent work of Colmez, Bellaïche, and Chenevier on trianguline representati...
متن کاملHILBERT MODULAR FORMS AND p-ADIC HODGE THEORY
We consider the p-adic Galois representation associated to a Hilbert modular form. Carayol has shown that, under a certain assumption, its restriction to the local Galois group at a place not dividing p is compatible with the local Langlands correspondence [C2]. In this paper, we show that the same is true for the places dividing p, in the sense of p-adic Hodge theory [Fo], as is shown for an e...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1988
ISSN: 0894-0347
DOI: 10.1090/s0894-0347-1988-0924705-1