Decomposable Theta Divisors and Generic Vanishing
Decomposable Theta Divisors and Generic Vanishing
We study ample divisors |$X$| with only rational singularities on abelian varieties that decompose into a sum of two lower dimensional subvarieties, |$X=V+W$|. For instance, we prove an optimal lower bound on the degree of the addition map |$V\times W\longrightarrow X$| and show that the minimum can only be achieved …