Frobenius quotients, inflation categories and weighted projective lines

Xiao-Wu Chen; Qiang Dong; Shiquan Ruan

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arXiv · 2604.02626

Frobenius quotients, inflation categories and weighted projective lines

Xiao-Wu Chen·Qiang Dong·Shiquan Ruan

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Abstract

We propose the notion of Frobenius quotients between Frobenius exact categories. It turns out that any Frobenius quotient induces Frobenius quotients between the corresponding inflation categories. We obtain an explicit Frobenius quotient from the category of vector bundles on weighted projective lines with three weights to a certain category consisting of monomorphism grids.

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Xiao-Wu Chen, Qiang Dong, Shiquan Ruan. 2026-04-03. Frobenius quotients, inflation categories and weighted projective lines. https://arxiv.org/abs/2604.02626

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