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The Gauss map for bielliptic Prym varieties

Algebraic Geometry 2024-02-29 v3

Abstract

We completely describe the degree of the Gauss map of the theta divisor of bielliptic Prym varieties. We characterize bielliptic Prym varieties whose Gauss degree is the same as Jacobians. We also construct bielliptic Prym varieties with a very low Gauss degree. In dimension 55, we obtain a complete description of the Gauss degree on the Andreotti-Mayer locus.

Cite

@article{arxiv.2311.13521,
  title  = {The Gauss map for bielliptic Prym varieties},
  author = {Constantin Podelski},
  journal= {arXiv preprint arXiv:2311.13521},
  year   = {2024}
}
R2 v1 2026-06-28T13:28:46.552Z