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math.AG2003★ 4 cited
Gradients of odd theta functions
Samuel Grushevsky, Riccardo Salvati Manni
We show that a generic principally polarized abelian variety (ppav) is uniquely determined by its theta hyperplanes. These are the non-projectivized version of those studied by Cap…
math.NT2003★ 1 cited
Two generalizations of Jacobi's derivative formula
Samuel Grushevsky, Riccardo Salvati Manni
In this paper we generalize the famous Jacobi's triple product identity, considered as an identity for theta functions with characteristics and their derivatives, to higher genus/d…