Involutions on hyperelliptic curves and Prym maps
Algebraic Geometry
2024-10-31 v2
Abstract
We investigate the geometry of smooth hyperelliptic curves that possess additional involutions, especially from the point of view of the Prym theory. Our main result is the injectivity of the Prym map for hyperelliptic -coverings over hyperelliptic curves of positive genus.
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Cite
@article{arxiv.2302.13041,
title = {Involutions on hyperelliptic curves and Prym maps},
author = {Paweł Borówka and Angela Ortega},
journal= {arXiv preprint arXiv:2302.13041},
year = {2024}
}
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22 pages