Riemann-Roch for Quotients and Todd Classes of Simplicial Toric Varieties

DOI10.1081/AGB-120022440zbMath1039.14003arXivmath/0206116OpenAlexW2139608834MaRDI QIDQ4418327

Dan Edidin, William A. Graham

Publication date: 7 August 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206116

zbMATH Keywords

Todd classsimplicial toric varietyRiemann-Roch mapquotients of smooth schemes

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Riemann-Roch theorems (14C40) Equivariant (K)-theory (19L47)

Related Items (3)

Characteristic Classes of Singular Toric Varieties ⋮ Integration on Artin toric stacks and Euler characteristics ⋮ Nonabelian localization in equivariant \(K\)-theory and Riemann --- Roch for quotients

Cites Work

• Equivariant resolution, linearization, and Hilbert's fourteenth problem over arbitrary base schemes
• A Lefschetz formula in equivariant algebraic \(K\)-theory
• Algebraic homogeneous spaces and invariant theory
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• Riemann-Roch for equivariant Chow groups
• Riemann-Roch theorems for Deligne-Mumford stacks
• Quotient spaces modulo reductive algebraic groups
• Geometric Invariant Theory

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