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arXiv · 2310.09012

Weil pairing on twisted curves

Ashwin Deopurkar
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Abstract

We define and study the Weil pairing on the moduli of twisted curves. If $X$ is a twisted curve, then we can combinatorially describe a certain subgroup and a quotient group of $\text{Pic}(X)[2]$ that are Weil dual. Moreover, the pairing between them can be realized as combinatorial integration-homology pairing on the dual graph of $X$. We also prove that the kernel of the tropicalization is isotropic for the Weil pairing.

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Ashwin Deopurkar. 2023-10-13. Weil pairing on twisted curves. https://arxiv.org/abs/2310.09012

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