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arXiv · 2506.22734

Proper polyhedral divisors and torus actions over arbitrary fields

Gary Martinez-Nunez
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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. 2025-06-28. Proper polyhedral divisors and torus actions over arbitrary fields. https://arxiv.org/abs/2506.22734

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