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On finite categories of algebraic varieties

Author:
Junho Peter Whang
Keyword:
Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Group Theory (math.GR)
journal:
--
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.
PDF: On finite categories of algebraic varieties.pdf
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