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

École polytechnique

Elizabeth Wulcan

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Indiana University Mathematics Journal

0022-2518 (ISSN)

Vol. 61 2 493-524

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper

DOI

10.1512/iumj.2012.61.4555

Mer information

Senast uppdaterat

2020-11-09