The Gauss map for bielliptic Prym varieties

Fuente: arXiv
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Main Author: Podelski, Constantin
Format: Preprint
Published: 2023
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author Podelski, Constantin
author_facet Podelski, Constantin
contents 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 $5$, we obtain a complete description of the Gauss degree on the Andreotti-Mayer locus.
format Preprint
id arxiv_https___arxiv_org_abs_2311_13521
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The Gauss map for bielliptic Prym varieties
Podelski, Constantin
Algebraic Geometry
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 $5$, we obtain a complete description of the Gauss degree on the Andreotti-Mayer locus.
title The Gauss map for bielliptic Prym varieties
topic Algebraic Geometry
url https://arxiv.org/abs/2311.13521