Francesco Lemma

collaborators

3 papers

math.NT2025

Kato explicit reciprocity law for Siegel modular forms of weight $(3, 3)$

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…

math.NT2024

Tempered currents and Deligne cohomology of Shimura varieties, with an application to $GSp_{6}$

JosÃ© 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…

math.NT2024

Algebraic cycles and functorial lifts from $G_{2}$ to $PGSp_{6}$

Antonio Cauchi, Francesco Lemma, JoaquÃn Rodrigues Jacinto

We study instances of Beilinson-Tate conjectures for automorphic representations of $PGSp_{6}$ whose Spin $L$ -function has a pole at $s = 1$ . We construct algebraic cycles of…

Kato explicit reciprocity law for Siegel modular forms of weight (3,3)

Tempered currents and Deligne cohomology of Shimura varieties, with an application to GSp6​

Algebraic cycles and functorial lifts from G2​ to PGSp6​

Kato explicit reciprocity law for Siegel modular forms of weight $(3, 3)$

Tempered currents and Deligne cohomology of Shimura varieties, with an application to $GSp_{6}$

Algebraic cycles and functorial lifts from $G_{2}$ to $PGSp_{6}$