Barvinok's algorithm and the Todd class of a toric variety

DOI10.1016/S0022-4049(97)00025-XzbMath0910.14027MaRDI QIDQ1358927

James E. Pommersheim

Publication date: 15 April 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

toric varietiesTodd classcounting lattice points

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) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Topological properties in algebraic geometry (14F45)

Related Items (6)

Characteristic Classes of Singular Toric Varieties ⋮ Higher Hickerson formula ⋮ Equidistribution of generalized Dedekind sums and exponential sums ⋮ Polynomial behavior of special values of partial zeta functions of real quadratic fields at \(s = 0\) ⋮ Equidistribution of higher dimensional generalized Dedekind sums and exponential sums ⋮ Values of zeta functions at negative integers, Dedekind sums and toric geometry

Cites Work

• Pick's theorem and the Todd class of a toric variety
• Toric varieties, lattice points and Dedekind sums
• Introduction to Toric Varieties. (AM-131)
• THE GEOMETRY OF TORIC VARIETIES
• Genera of algebraic varieties and counting of lattice points
• Values of zeta functions at negative integers, Dedekind sums and toric geometry
• A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed
• Products of Cycles and the Todd Class of a Toric Variety
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