Degree growth of monomial maps and McMullen's polytope algebra
Artikel i vetenskaplig tidskrift, 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.

Författare

Charles Favre

Centre de Mathematiques Laurent Schwartz Ecole polytechnique

Elizabeth Wulcan

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Indiana University Mathematics Journal

0022-2518 (ISSN)

Vol. 61 493-524

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper

DOI

10.1512/iumj.2012.61.4555