Proper polyhedral divisors and torus actions over arbitrary fields
Algebraic Geometry
2025-10-01 v4
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.
Cite
@article{arxiv.2506.22734,
title = {Proper polyhedral divisors and torus actions over arbitrary fields},
author = {Gary Martinez-Nunez},
journal= {arXiv preprint arXiv:2506.22734},
year = {2025}
}
Comments
69 pages, comments are welcome :)There are some improvements in the redaction. Also, Proposition 4.5 has been corrected and Proposition 4.6 has been added. Improvement in the section of Galois descent