arXiv (Cornell University) · 2010 · 11 citations · 2 references
Natural SciencesEnologyDynamical SystemsAlgebraic GeometryAlgebraic TopologyCohomology TheoryGroup TheoryHomological AlgebraToric GeometryCohomology GroupsCohomology Of Toric VarietiesCremona TransformationEquivariant CohomologyEquivariant TopologyIntersectionIntersection Theory On Toric VarietiesPullback Products
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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THE GEOMETRY OF TORIC VARIETIES
V. I. Danilov · Russian Mathematical Surveys · 1978 · 925 citations
Intersection theory on toric varieties
William Fulton, Bernd Sturmfels · Topology · 1997 · 227 citations