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pro vyhledávání: '"ANDREATTA, Fabrizio"'
Autor:
Andreatta, Fabrizio
Consider a smooth projective curve C of genus g over a complete discrete valuation field of characteristic 0 and residue field \Fbar_p. Motivated by Narasimhan and Seshadri's theorem, Faltings asked whether all semistable vector bundles of degree 0 o
Externí odkaz:
http://arxiv.org/abs/2406.12766
Autor:
Andreatta, Fabrizio
Consider a Shimura variety of Hodge type admitting a smooth integral model S at an odd prime p>3. Consider its perfectoid cover S(p^\infty) and the Hodge-Tate period map introduced by A. Caraiani and P. Scholze. We compare the pull-back to S(p^\infty
Externí odkaz:
http://arxiv.org/abs/2103.12361
Autor:
Andreatta, Fabrizio, Iovita, Adrian
This article represents our attempt to improve the previous results on defining and understanding overconvergent Eichler-Shimura maps for overconvergent modular symbols (in the elliptic case).
Externí odkaz:
http://arxiv.org/abs/2006.02185
Autor:
Andreatta, Fabrizio, Iovita, Adrian
For every triple F,K,p where F is a classical elliptic eigenform, K is a quadratic imaginary field and p> 3 is a prime integer which is not split in K, we attach a p-adic L function which interpolates the algebraic parts of the special values of the
Externí odkaz:
http://arxiv.org/abs/1905.00792
Autor:
Andreatta, Fabrizio, Iovita, Adrian
We p-adically interpolate the relative de Rham cohomology of the universal elliptic curve over strict neighbourhoods of the ordinary locus of modular curves, together with the Hodge filtration and Gauss-Manin connection. Sections of these sheaves pro
Externí odkaz:
http://arxiv.org/abs/1708.02785
Autor:
Andreatta, Fabrizio, Iovita, Adrian
Publikováno v:
Commentarii Mathematici Helvetici; 2024, Vol. 99 Issue 4, p641-716, 76p
Let M be the Shimura variety associated with the group of spinor similitudes of a rational quadratic space over of signature (n,2). We prove a conjecture of Bruinier-Kudla-Yang, relating the arithmetic intersection multiplicities of special divisors
Externí odkaz:
http://arxiv.org/abs/1508.00178
Publikováno v:
Compositio Math. 153 (2017) 474-534
Let $M$ be the Shimura variety associated to the group of spinor similitudes of a quadratic space over $\mathbb{Q}$ of signature $(n,2)$. We prove a conjecture of Bruinier and Yang, relating the arithmetic intersection multiplicities of special divis
Externí odkaz:
http://arxiv.org/abs/1504.00852
Akademický článek
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We provide a geometric Hodge-Tate map giving generic description of the overconvergent modular symbols of some p-adic (accessible) weight k, base-changed to C_p, in terms of overconvergent modular forms of weight k+2.
Externí odkaz:
http://arxiv.org/abs/1303.4878