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Higher intersection theory on algebraic stacks. I

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Publication:1866117
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DOI10.1023/A:1021116524762zbMath1058.14004OpenAlexW2079356001MaRDI QIDQ1866117

Roy Joshua

Publication date: 3 April 2003

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021116524762

zbMATH Keywords

higher Chow groupsmotivic homology


Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Generalizations (algebraic spaces, stacks) (14A20)


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Bredon-style homology, cohomology and Riemann-Roch for algebraic stacks, \(p\)-adic \(L\)-functions and the coniveau filtration on Chow groups. With an appendix by Brian Conrad., Deligne-Beilinson cohomology of the universal K3 surface, Equivariant algebraic \(K\)-theory, \(G\)-theory and derived completions, The Nisnevich motive of an algebraic stack, Stringy K-theory and the Chern character, Motives of Deligne-Mumford stacks, On the algebraicK-theory of higher categories



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