Atiyah-Segal theorem for Deligne-Mumford stacks and applications

DOI10.1090/jag/755zbMath1471.14021arXiv1701.05047OpenAlexW3004714562MaRDI QIDQ5111916

Amalendu Krishna, Bhamidi Sreedhar

Publication date: 27 May 2020

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05047

zbMATH Keywords

higher Chow groupsDeligne-Mumford stackGrothendieck-Riemann-Roch theoremquotient stackinertia stackequivariant $K$-theoryAtiyah-Segal mapcoarse moduli space mapKöck's conjectureMorita isomorphismRiemann-Roch transformation

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) (K)-theory of schemes (19E08) Generalizations (algebraic spaces, stacks) (14A20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items

Tautological families of cyclic covers of projective spaces ⋮ Parabolic semi-orthogonal decompositions and Kummer flat invariants of log schemes ⋮ Virtual equivariant Grothendieck-Riemann-Roch formula

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