Towards an intersection Chow cohomology theory for GIT quotients

DOI10.1007/s00031-020-09553-9zbMath1455.14090arXiv1707.05890OpenAlexW3005673578MaRDI QIDQ2210568

Dan Edidin, Matthew Satriano

Publication date: 7 November 2020

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05890

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (1)

Canonical reduction of stabilizers for Artin stacks with good moduli spaces

Cites Work

• Partial desingularizations of good moduli spaces of Artin toric stacks
• Strong regular embeddings of Deligne-Mumford stacks and hypertoric geometry
• Intersection theory on algebraic stacks and on their moduli spaces
• Motivic decomposition and intersection Chow groups. II.
• Tame stacks in positive characteristic
• Intersection theory on algebraic stacks and Q-varieties
• Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• Motivic decomposition and intersection Chow groups. I.
• Cycle groups for Artin stacks
• A Luna étale slice theorem for algebraic stacks
• There is no degree map for 0-cycles on Artin stacks
• Good moduli spaces for Artin stacks
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Intersection theory on toric varieties
• Integration on Artin toric stacks and Euler characteristics
• CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
• Equivariant geometry and the cohomology of the moduli space of curves
• Categorical framework for the study of singular spaces
• Fractional intersection and bivariant theory
• Classification of Three-Dimensional Flips
• Geometric Invariant Theory
• An approach to intersection theory on singular varieties using motivic complexes
• Toric stacks I: The theory of stacky fans
• Toric stacks II: Intrinsic characterization of toric stacks
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