Stabilization of monomial maps
Dynamical Systems
2010-09-20 v2 Algebraic Geometry
Abstract
A monomial (or equivariant) selfmap of a toric variety is called stable if its action on the Picard group commutes with iteration. Generalizing work of Favre to higher dimensions, we show that under suitable conditions, a monomial map can be made stable by refining the underlying fan. In general, the resulting toric variety has quotient singularities; in dimension two we give criteria for when it can be chosen smooth, as well as examples when it cannot.
Cite
@article{arxiv.1001.3938,
title = {Stabilization of monomial maps},
author = {Mattias Jonsson and Elizabeth Wulcan},
journal= {arXiv preprint arXiv:1001.3938},
year = {2010}
}
Comments
To appear in Michigan Math. J