Proper polyhedral divisors and torus actions over arbitrary fields

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.

arXiv comment76 pages, comments are welcome :)There are some improvements in the redaction and some sections have been reorganized in order to improve readability