The Gauss Map on Theta Divisors with Transversal A1 Singularities
Abstract
We use Lagrangian specialization to compute the degree of the Gauss map on Theta divisors with transversal A1 singularities. This computes the Gauss degree for a general abelian variety in the loci Aδt,g-t that form some of the irreducible components of the Andreotti-Mayer loci. We also prove that the first coefficient of the Lagrangian specialization is the Samuel multiplicity of the singular locus.
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