Degree growth of monomial maps and McMullen's polytope algebra
Journal article, 2012

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.

Author

Charles Favre

Centre de Mathematiques Laurent Schwartz Ecole polytechnique

Elizabeth Wulcan

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Indiana University Mathematics Journal

0022-2518 (ISSN)

Vol. 61 2 493-524

Subject Categories

Mathematics

Roots

Basic sciences

DOI

10.1512/iumj.2012.61.4555

More information

Created

10/7/2017