The Prym variety of a dilated double cover of metric graphs

Arkabrata Ghosh; Dmitry Zakharov

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arXiv · 2303.03904

The Prym variety of a dilated double cover of metric graphs

Arkabrata Ghosh·Dmitry Zakharov

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Abstract

We calculate the volume of the tropical Prym variety of a harmonic double cover of metric graphs having non-trivial dilation. We show that the tropical Prym variety behaves discontinuously under deformations of the double cover that change the number of connected components of the dilation subgraph.

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Arkabrata Ghosh, Dmitry Zakharov. 2023-03-07. The Prym variety of a dilated double cover of metric graphs. https://arxiv.org/abs/2303.03904

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