Chow rings of stacks of prestable curves I

DOI10.1017/fms.2022.21zbMath1504.14053arXiv2012.09887OpenAlexW4285250644MaRDI QIDQ5864309

Johannes Schmitt, Younghan Bae

Publication date: 7 June 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.09887

zbMATH Keywords

algebraic stacksChow groupstautological classes

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Families, moduli of curves (algebraic) (14H10) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (5)

The intersection theory of the moduli stack of vector bundles on ⋮ Chow rings of stacks of prestable curves. II ⋮ Splitting of Gromov–Witten invariants with toric gluing strata ⋮ On orbifold Gromov-Witten classes ⋮ The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group actions on stacks and applications
• Equivariant versal deformations of semistable curves
• Higher genus Gromov-Witten invariants as genus zero invariants of symmetric products
• Intersection theory on algebraic stacks and on their moduli spaces
• Good points and constructive resolution of singularities
• Smoothness, semi-stability and alterations
• Gromov-Witten invariants in algebraic geometry
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• Constructions of nontautological classes on moduli spaces of curves.
• Stacks of stable maps and Gromov-Witten invariants
• Cycle groups for Artin stacks
• Intersections of loci of admissible covers with tautological classes
• Quasisymmetric functions and the Chow ring of the stack of expanded pairs
• Generalized boundary strata classes
• Brauer groups and quotient stacks
• Expanded Degenerations and Pairs
• The Chow Ring of the Stack of Rational Curves with at Most 3 Nodes
• Geometry of Algebraic Curves
• Tautological Classes of the Stack of Rational Nodal Curves
• The Stack of Rational Curves
• Flattening stratification and the stack of partial stabilizations of prestable curves
• An Introduction to Quasisymmetric Schur Functions
• Double ramification cycles with target varieties

This page was built for publication: Chow rings of stacks of prestable curves I