Murilo Corato-Zanarella

collaborators

3 papers

math.NT2026

First explicit reciprocity law for unitary Friedberg--Jacquet periods

Murilo Corato-Zanarella

Consider a unitary group $G (A_{F^{+}}) = U_{2 r} (A_{F^{+}})$ over a CM extension $F / F^{+}$ with $G (A_{\infty})$ compact. In this article, we study the Beilinson--Bl…

math.NT2026

Spherical functions on symmetric spaces of Friedberg-Jacquet type

Murilo Corato-Zanarella

We give explicit models for spherical functions on $p$ -adic symmetric spaces $X = H \ G$ for pairs of $p$ -adic groups $(G, H)$ of the form $(\mathrm{U}(2r),\mathrm{U}(r)\times…

math.NT2026

Spherical functions of symmetric forms and a conjecture of Hironaka

Murilo Corato-Zanarella

For all $r \geq 1,$ we verify the following conjecture of Hironaka: for a $p$ -adic field $F$ with $p$ odd, the space of spherical functions of $\mathrm{Sym}_{r\times r}(F)\cap\mathrm{…