25 citations · 79 across the 16 of their papers we have counts for
10 papers · 1 filter
Syntomic formalism with coefficients
Fabrizio Andreatta, Massimo Bertolini, Marco Adamo Seveso +1
This paper provides the technical tools needed in ongoing work of the authors to compute p-adic étale Abel-Jacobi maps in order to obtain explicit reciprocity laws for GSp4. In par…
BGG-decomposition for de Rham Banach sheaves
Fabrizio Andreatta, Marco Baracchini, Adrian Iovita
In this article we refer to "the BGG method" as a method in which by using Lie-algebra techniques one produces a complex of coherent sheaves on a Shimura variety, which is quasi-is…
Overconvergent de Rham Eichler-Shimura morphisms
Fabrizio Andreatta, Adrian Iovita
This article represents our attempt to improve the previous results on defining and understanding overconvergent Eichler-Shimura maps for overconvergent modular symbols (in the ell…
Katz type p-adic L-functions for primes p non-split in the CM field
Fabrizio Andreatta, Adrian Iovita
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 functio…
Triple product p-adic L-functions associated to finite slope p-adic families of modular forms, with an appendix by Eric Urban
Fabrizio Andreatta, Adrian Iovita
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 Hodg…
Faltings heights of abelian varieties with complex multiplication
Fabrizio Andreatta, Eyal Z. Goren, Benjamin Howard +1
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, re…
Height pairings on orthogonal Shimura varieties
Fabrizio Andreatta, Eyal Z. Goren, Benjamin Howard +1
Let be the Shimura variety associated to the group of spinor similitudes of a quadratic space over of signature . We prove a conjecture of Bruinier and Yang…
Overconvergent Eichler-Shimura isomorphisms
Fabrizio Andreatta, Adrian Iovita, Glenn Stevens
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 overco…
Global applications of relative (phi-Gamma)-modules I
Fabrizio Andreatta, Adrian Iovita
In this paper, given a smooth proper scheme X over a p-adic dvr and a p-power torsion etale local system L on it, we study a family of sheaves associated to the cohomology of local…
Hilbert modular forms: mod and -adic aspects
Fabrizio Andreatta, Eyal Z. Goren
We study Hilbert modular forms in characteristic and over -adic rings. In the characteristic -theory we describe the kernel and image of the -expansion map and prove t…