G. Rosso

activity

20242026

collaborators

4 papers

math.NT2026

Hirzebruch-Zagier cycles in $p$ -adic families and adjoint $L$ -values

Antonio Cauchi, Marc-Hubert Nicole, Giovanni Rosso

Let $E / F$ 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…

math.NT2025

Higher Hida theory for Drinfeld modular curves

Daniel Barrera Salazar, HÃ©ctor del Castillo, Giovanni Rosso

Inspired by the construction of Higher Hida theory of Boxer and Pilloni, we develop Higher Hida theory for the cohomology of the line bundles of Drinfeld modular forms on the Drinf…

math.NT2025

Overconvergent Eichler-Shimura morphisms for $GSp_{4}$

Hansheng Diao, Giovanni Rosso, Ju-Feng Wu

We construct explicit Eichler-Shimura morphisms for families of overconvergent Siegel modular forms of genus two. These can be viewed as $p$ -adic interpolations of the Eichler-Shim…

math.NT2024

Algebraicity of Spin $L$ -functions for $GSp_{6}$

Ellen Eischen, Giovanni Rosso, Shrenik Shah

We prove algebraicity of critical values of certain Spin $L$ -functions. More precisely, our results concern $L (s, I ¨ \otimes I ¨ , S p in)$ for cuspidal automorphic representations $I ¨ $ …

Hirzebruch-Zagier cycles in p-adic families and adjoint L-values

Higher Hida theory for Drinfeld modular curves

Overconvergent Eichler-Shimura morphisms for GSp4​

Algebraicity of Spin L-functions for GSp6​

Hirzebruch-Zagier cycles in $p$ -adic families and adjoint $L$ -values

Overconvergent Eichler-Shimura morphisms for $GSp_{4}$

Algebraicity of Spin $L$ -functions for $GSp_{6}$