activity
20032026
most citedRemarks on Superstring amplitudes in higher genus

38 citations · 95 across the 31 of their papers we have counts for

collaborators

39 papers

math.NT2026

Theta Series with Half-integral Characteristics

Riccardo Salvati Manni

We study theta series with half-integral characteristics attached to odd positive-definite unimodular lattices. In even rank, we get non-vanishing theta series with odd characteris…

math.NT2025

Siegel modular forms of level (4,8) and weight two

Eberhard Freitag, Riccardo Salvati Manni

We consider the space of Siegel modular forms of genus of weight two relative to the main congruence subgroup of level 2 and to Igusa's group and .One of…

math.AG2025

Some remarks to a Theorem of van Geemen

Riccardo Salvati Manni, Eberhard Freitag

In [ Ge], Bert van Geemen computed the dimension of the space of the fourth power of the theta nullwerte. In [SM2], it has been observe that all linear relations between the $θ_m^4…

math.AG2024

Compact Subvarieties of the Moduli Space of Complex Abelian Varieties

Samuel Grushevsky, Gabriele Mondello, Riccardo Salvati Manni +1

We determine the maximal dimension of compact subvarieties of , the moduli space of complex principally polarized abelian varieties of dimension , and the maximal…

math.AG2023

Moduli of abelian varieties near the locus of products of elliptic curves

Samuel Grushevsky, Riccardo Salvati Manni

We study various naturally defined subvarieties of the moduli space of complex principally polarized abelian varieties (ppav) in a neighborhood of the locus of pro…

math.AG2022

Differentiating Siegel modular forms, and the moving slope of

Samuel Grushevsky, Tomoyoshi Ibukiyama, Gabriele Mondello +1

We study the cone of moving divisors on the moduli space of principally polarized abelian varieties. Partly motivated by the generalized Rankin-Cohen bracket, we c…