Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Group Theory (math.GR)

journal:

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date:

2023-09-07 16:00:00

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.