4 papers
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…
The anticyclotomic main conjectures for elliptic curves
Massimo Bertolini, Matteo Longo, Rodolfo Venerucci
The goal of this article is to obtain a proof of the Main conjectures of Iwasawa theory for rational elliptic curves over anticyclotomic extensions of imaginary quadratic fields, u…
Exceptional zero formulae and a conjecture of Perrin-Riou
Rodolfo Venerucci
Let be an elliptic curve with split multiplicative reduction at a prime . We prove (an analogue of) a conjecture of Perrin-Riou, relating -adic BeilinsonKat…
On the p-converse of the Kolyvagin-Gross-Zagier theorem
Rodolfo Venerucci
Let be an elliptic curve having split multiplicative reduction at an odd prime . Under some mild technical assumptions, we prove the statement: $$rank_{\mathbb{Z}…