20 citations · 27 across the 10 of their papers we have counts for
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Kato explicit reciprocity law for Siegel modular forms of weight
Francesco Lemma, Tadashi Ochiai
We extend Kato explicit reciprocity law, in the version written by Scholl, for a modular curve to a product of two modular curves. By embedding the product of two modular curves in…
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 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…
Endoscopic congruences modulo adjoint -values for
Francesco Lemma, Tadashi Ochiai
We establish the existence of congruences between a fixed endoscopic cuspidal automorphic representation of of square-free conductor and stable cuspidal autom…
Algebraic cycles and residues of degree eight -functions of
Francesco Lemma
We prove a cohomological formula for non-critical residues of degree eight automorphic -functions of in the spirit of Beilinson conjectur…
On the residue of Eisenstein classes of Siegel varieties
Francesco Lemma
Eisenstein classes of Siegel varieties are motivic cohomology classes defined as pull-backs by torsion sections of the polylogarithm prosheaf on the universal abelian scheme. By re…
Abelian varieties and transversal index theorems
Ouidad Filali, Francesco Lemma
We interpret the "explicit formula" in the sense of analytic number theory for the zeta function of an ordinary abelian variety of dimension g over a finite field as a transversal…
On higher regulators of Siegel threefolds II: the connection to the special value
Francesco Lemma
We establish a connection between motivic cohomology classes over the Siegel threefold and special values of the degree four -function of some cuspidal automorphic representatio…
Some norm relations of the Eisenstein classes of GSp(4)
Francesco Lemma
We construct a norm compatible system of Galois cohomology classes in the cyclotomic extension of the field of rationnals giving rise (conjecturally) to the degree four p-adic L-fu…
Higher regulators, periods and special values of the degree four L-function of GSp(4)
Francesco Lemma
We consider the degree 4 L-function associated to an automorphic representation of the symplectic group GSp(4). Starting with Beilinson's Eisenstien symbol we construct some motivi…