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arXiv · 2607.04340

On the number of Frobenius periodic vector bundles on elliptic curves

Lingguang Li·Niantao Tian
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Abstract

This paper counts Frobenius-periodic vector bundles on elliptic curves over an algebraically closed field of characteristic $p>0$. By translating the problem into continuous representations of the \'etale fundamental group, it derives explicit generating functions and exact-period formulas, with separate treatments of the ordinary and supersingular cases.

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Lingguang Li, Niantao Tian. 2026-07-05. On the number of Frobenius periodic vector bundles on elliptic curves. https://arxiv.org/abs/2607.04340

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