Cycles representing the Todd class of a toric variety

DOI10.1090/S0894-0347-04-00460-6zbMath1049.14038arXivmath/0310036MaRDI QIDQ4821036

Hugh Thomas, James E. Pommersheim

Publication date: 7 October 2004

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310036

zbMATH Keywords

characteristic classes

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17)

Related Items (15)

Sum-integral interpolators and the Euler-Maclaurin formula for polytopes ⋮ The equivariant Todd genus of a complete toric variety, with Danilov condition ⋮ Characteristic Classes of Singular Toric Varieties ⋮ New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes ⋮ An algebraic construction of sum-integral interpolators ⋮ Higher integrality conditions, volumes and Ehrhart polynomials ⋮ Ehrhart positivity of Tesler polytopes and Berline-Vergne's valuation ⋮ Berline-Vergne valuation and generalized permutohedra ⋮ Cycle-level products in equivariant cohomology of toric varieties ⋮ Perspectives on scissors congruence ⋮ On the Todd class of the permutohedral variety ⋮ Local formulas for Ehrhart coefficients from lattice tiles ⋮ Computing the Ehrhart quasi-polynomial of a rational simplex ⋮ \(K\)-theoretic balancing conditions and the Grothendieck group of a toric variety ⋮ Euler characteristic of coherent sheaves on simplicial torics via the Stanley–Reisner ring

Cites Work

• Unnamed Item
• Weakly continuous valuations on convex polytopes
• Pick's theorem and the Todd class of a toric variety
• Toric varieties, lattice points and Dedekind sums
• Introduction to Toric Varieties. (AM-131)
• Products of Cycles and the Todd Class of a Toric Variety
• Decomposition of Birational Toric Maps in Blow-Ups and Blow-Downs

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