3 citations · 5 across the 8 of their papers we have counts for
8 papers
Trito-non-ordinary Iwasawa theory of diagonal cycles
Raúl Alonso, Kâzım Büyükboduk, Antonio Cauchi +1
Our goal in this paper is to introduce and study the Euler system of signed diagonal cycles associated with a trito-non-ordinary triple product of the form $f^B \times g^B \times \…
Hirzebruch-Zagier cycles in -adic families and adjoint -values
Antonio Cauchi, Marc-Hubert Nicole, Giovanni Rosso
Let be a quadratic extension of totally real number fields. We show that the generalized Hirzebruch-Zagier cycles arising from the associated Hilbert modular varieties can be…
Tempered currents and Deligne cohomology of Shimura varieties, with an application to
José Ignacio Burgos Gil, Antonio Cauchi, Francesco Lemma +1
We provide a new description of Deligne-Beilinson cohomology for any Shimura variety in terms of tempered currents. This is particularly useful for computations of regulators of mo…
Algebraic cycles and functorial lifts from to
Antonio Cauchi, Francesco Lemma, Joaquín Rodrigues Jacinto
We study instances of Beilinson-Tate conjectures for automorphic representations of whose Spin -function has a pole at . We construct algebraic cycles of…
On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting
Antonio Cauchi, Antonio Lei
We study the Fitting ideals over the finite layers of the cyclotomic -extension of of Selmer groups attached to the Rankin--Selberg convolution of two mo…
On Higher regulators of Siegel varieties
Antonio Cauchi, Francesco Lemma, Joaquín Rodrigues Jacinto
We construct classes in the middle degree plus one motivic cohomology of the Siegel Shimura variety of almost any dimension. We compute their image by Beilinson's higher regulator…
Norm-compatible systems of Galois cohomology classes for
Antonio Cauchi, Joaquín Rodrigues Jacinto
We construct global cohomology classes in the middle degree cohomology of the Shimura variety of the symplectic group compatible when one varies the level at . These cla…
Norm-compatible systems of cohomology classes for
Antonio Cauchi
We describe work of Faltings on the construction of étale cohomology classes associated to symplectic Shimura varieties and show that they satisfy certain trace compatibilities sim…