The \(\mathrm{K}\)-theory of the moduli stacks \(\mathcal{M}_2\) and \(\overline{\mathcal{M}}_2\)

DOI10.1007/S00229-024-01581-ZMaRDI QIDQ6636606

Dan Edidin, Author name not available (Why is that?)

Publication date: 12 November 2024

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

• Title not available (Why is that?)
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• Operational \(K\)-theory
• The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points
• 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 \({\mathcal M}_2\))
• Higher algebraic \(K\)-theory for actions of diagonalizable groups
• Riemann-Roch for equivariant Chow groups
• Higher algebraic \(K\)-theory of group actions with finite stabilizers
• Nonabelian localization in equivariant \(K\)-theory and Riemann --- Roch for quotients
• Diagonalizably linearized coherent sheaves
• The integral Chow ring of ${\mkern2mu\overline{\mkern-2mu{{M}}}_2}$
• Riemann-Roch for Deligne-Mumford stacks

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