Work

Proper polyhedral divisors and torus actions over arbitrary fields

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2506.22734

Author: Martinez-Nunez, Gary

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agencia Nacional de Investigación y Desarrollo

Award: EQUIVARIANT ALGEBRAIC GEOMETRY WITH A VIEW TOWARDS BIRATIONAL GEOMETRY AND ARITHMETICS

OpenAlex ID: W4416506227

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