Pulling Back Cohomology Classes and Dynamical Degrees Of Monomial Maps

2010/10/29 by Lin, Jan-Li · 3 citations
#37F10 (Primary) 14M25 (Secondary) #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1010.6285

Abstract

We study the pullback maps on cohomology groups for equivariant rational maps (i.e., monomial maps) on toric varieties. Our method is based on the intersection theory on toric varieties. We use the method to determine the dynamical degrees of monomial maps and compute the degrees of the Cremona involution.

Cited by

• Cyclotomic integral points for affine dynamics
• On the generating series of the degree sequence
• Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties

Related

• Degree growth of monomial maps and McMullen's polytope algebra
• Computing dynamical degrees
• Monomial Cremona transformations and toric polar maps
• Dynamical invariants of monomial correspondences
• (Relative) dynamical degrees of rational maps over an algebraic closed field