Stable cuspidal curves and the integral Chow ring of \(\bar{\mathcal{M}}_{2,1}\)

DOI10.2140/gt.2024.28.2915MaRDI QIDQ6646023

Michele Pernice, Angelo Vistoli, Andrea Di Lorenzo

Publication date: 29 November 2024

Published in: Geometry \& Topology (Search for Journal in Brave)

zbMATH Keywords

stacksintersection theoryChow ringsmoduli of curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) (Equivariant) Chow groups and rings; motives (14C15) Stacks and moduli problems (14D23)

Cites Work

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• Singularities with \(\mathbb{G}_m\)-action and the log minimal model program for \(\overline{\mathcal{M}}_g\)
• Group actions on stacks and applications
• Intersection theory on algebraic stacks and on their moduli spaces
• The integral Chow ring of the stack of hyperelliptic curves of even genus
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• Cohomological invariants of the stack of hyperelliptic curves of odd genus
• Towards a classification of modular compactifications of \(\mathcal {M}_{g,n}\)
• Algebraic spaces
• Chow rings of moduli spaces of curves. I: The Chow ring of \(\bar {\mathcal M}_ 3\)
• The Chow Ring of the Stack of Rational Curves with at Most 3 Nodes
• Second Flip in the Hassett–Keel Program: Projectivity
• Second flip in the Hassett–Keel program: a local description
• Second flip in the Hassett–Keel program: existence of good moduli spaces
• The integral Chow ring of the stack of smooth non-hyperelliptic curves of genus three
• The Chow Ring of the Stack of Hyperelliptic Curves of Odd Genus
• The Integral Chow Ring of the Stack of 1-Pointed Hyperelliptic Curves
• The integral Chow ring of ${\mkern2mu\overline{\mkern-2mu{{M}}}_2}$
• Log canonical models for the moduli space of curves: The first divisorial contraction
• The Integral Chow Ring of the Stack of at Most 1-Nodal Rational Curves
• Chow rings of stacks of prestable curves I
• Chow rings of stacks of prestable curves. II

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