Pulling Back Cohomology Classes and Dynamical Degrees Of Monomial Maps

preprint2010arXivOpen access

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.

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