Degree growth of monomial maps and McMullen's polytope algebra
Dynamical Systems
2011-04-01 v2 Metric Geometry
Abstract
We compute all dynamical degrees of monomial maps by interpreting them as mixed volumes of polytopes. By exploiting further the isomorphism between the polytope algebra of P. McMullen and the universal cohomology of complete toric varieties, we construct invariant positive cohomology classes when the dynamical degrees have no resonance.
Keywords
Cite
@article{arxiv.1011.2854,
title = {Degree growth of monomial maps and McMullen's polytope algebra},
author = {Charles Favre and Elizabeth Wulcan},
journal= {arXiv preprint arXiv:1011.2854},
year = {2011}
}
Comments
26 pages. Minor modifications