3 papers
math.AG2020
On Frobenius' theta formula
Alessio Fiorentino, Riccardo Salvati Manni
Mumford's well-known characterization of the hyperelliptic locus of the moduli space of ppavs in terms of vanishing and non-vanishing theta constants is based on Neumann's dynamica…
math.AG2016
Weber's formula for the bitangents of a smooth plane quartic
Alessio Fiorentino
In a section of his 1876 treatise Theorie der Abel'schen Functionen vom Geschlecht 3 Weber proved a formula that expresses the bitangents of a non-singular plane quartic in terms o…
math.AG2015
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…