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arXiv · 1902.00251

The trigonal construction in the ramified case

Herbert Lange·Angela Ortega
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Abstract

To every double cover ramified in two points of a general trigonal curve of genus g, one can associate an étale double cover of a tetragonal curve of genus g+1. We show that the corresponding Prym varieties are canonically isomorphic as principally polarized abelian varieties.

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Herbert Lange, Angela Ortega. 2019-02-01. The trigonal construction in the ramified case. https://arxiv.org/abs/1902.00251

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