Proper polyhedral divisors and torus actions over arbitrary fields

Published 28 Jun 2025 in math.AG | (2506.22734v1)

Abstract: We provide a algebro-geometric combinatorial description of geometrically integral geometrically normal affine varieties endowed with an effective action of an algebraic torus over arbitrary fields. This description is achieved in terms of proper polyhedral divisors endowed with a Galois semilinear action.

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Gary Martinez-Nunez

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