3 citations · 6 across the 4 of their papers we have counts for
4 papers
The Gauss map and secants of the Kummer variety
Robert Auffarth, Giulio Codogni, Riccardo Salvati Manni
Fay's trisecant formula shows that the Kummer variety of the Jacobian of a smooth projective curve has a four dimensional family of trisecant lines. We study when these lines inter…
The Scorza correspondence in genus 3
Samuel Grushevsky, Riccardo Salvati Manni
In this note we prove the genus 3 case of a conjecture of G. Farkas and A. Verra on the limit of the Scorza correspondence for curves with a theta-null. Specifically, we show that…
The loci of abelian varieties with points of high multiplicity on the theta divisor
Samuel Grushevsky, Riccardo Salvati Manni
We study the loci of principally polarized abelian varieties with points of high multiplicity on the theta divisor. Using the heat equation and degeneration techniques, we relate t…
Jacobians with a vanishing theta-null in genus 4
Samuel Grushevsky, Riccardo Salvati Manni
In this paper we prove a conjecture of Hershel Farkas that if a 4-dimensional principally polarized abelian variety has a vanishing theta-null, and the hessian of the theta functio…