arXiv:2302.13041 Abstract | arXiv Analytics

arXiv:2302.13041 [math.AG]Abstract References Reviews Resources

Involutions on hyperelliptic curves and Prym maps

Published 2023-02-25Version 1

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 $\mathbb{Z}_2^2$-coverings over hyperelliptic curves of positive genus.

Comments: 21 pages

Categories: math.AG

Subjects: 14H40, 14H30, 14H37

Keywords: prym map, smooth hyperelliptic curves, possess additional involutions, main result, prym theory

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