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arXiv · 2309.04080

On finite categories of algebraic varieties

Junho Peter Whang
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Abstract

We prove that the finiteness of a finitely generated category of irreducible algebraic varieties over a field of characteristic zero is decidable. We also obtain a Burnside finiteness criterion for such a category, with applications to algebraic dynamical systems of several maps.

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Junho Peter Whang. 2023-09-08. On finite categories of algebraic varieties. https://arxiv.org/abs/2309.04080

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