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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…
math.AG2015
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…