1 citations · 1 across the 3 of their papers we have counts for
4 papers
A new proof of the Caporaso-Sernesi theorem via Weber's formula
Francesco Dalla Piazza, Alessio Fiorentino
In this paper we give a new proof of Caporaso and Sernesi's result which states that the general plane quartic is uniquely determined by its 28 bitangents. Our proof uses classical…
Vector-valued modular forms and the Gauss map
Francesco Dalla Piazza, Alessio Fiorentino, Samuel Grushevsky +2
We use the gradients of theta functions at odd two-torsion points --- thought of as vector-valued modular forms --- to construct holomorphic differential forms on the moduli space…
Plane quartics: the matrix of bitangents
Francesco Dalla Piazza, Alessio Fiorentino, Riccardo Salvati Manni
Aronhold's classical result states that a plane quartic can be recovered by the configuration of any Aronhold systems of bitangents, i.e. special 7-tuples of bitangents such that t…
On the Coble quartic and Fourier-Jacobi expansion of theta relations
Francesco Dalla Piazza, Riccardo Salvati Manni
In the paper "The universal Kummer threefold", Q. Ren, S. Sam, G. Schrader, and B. Sturmfels (arXiv:1208.1229), conjectured equations for the universal Kummer variety in genus 3 ca…