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math.AG2020
Semicontinuity of Gauss maps and the Schottky problem
Giulio Codogni, Thomas Krämer
We show that the degree of Gauss maps on abelian varieties is semicontinuous in families, and we study its jump loci. As an application we obtain that in the case of theta divisors…
math.AG2020
Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach
Enrico Arbarello, Giulio Codogni, Giuseppe Pareschi
This paper is withdrawn since we found a flaw in the proof of Theorem 4, asserting that the base locus of the complete linear system of an ample line bundle on a complex abelian va…
math.AG2020
Theta divisors whose Gauss map has a fiber of positive dimension
Robert Auffarth, Giulio Codogni
We construct families of principally polarized abelian varieties whose theta divisor is irreducible and contains an abelian subvariety. These families are used to construct example…