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Proper polyhedral divisors and torus actions over arbitrary fields

2025/06/28 by Gary Martinez-Nuñez, Martinez-Nunez, Gary
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2506.22734

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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