Riemann-Roch Theorems for Deligne-Mumford Stacks

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dc.creatorToen, B.
dc.date1998-03-17
dc.date1998-03-18
dc.date.accessioned2026-07-07T05:24:07Z
dc.date.available2026-07-07T05:24:07Z
dc.descriptionThe goal of this paper is to prove Riemann-Roch type theorems for Deligne-Mumford algebraic stacks. To this end, we introduce a "cohomology with coefficients in representations" and a Chern character, and we prove a Grothendieck-Riemann-Roch theorem for the Riemann-Roch transformation it defines. As a corollary we obtain an Hirzebruch-Riemann-Roch formula for the Euler characteristic of a coherent sheaf, and some formulas for the different topological Euler characteristics of complex algebraic stacks.
dc.descriptionFrench, 47 pages, accents correction
dc.identifierhttps://arxiv.org/abs/math/9803076
dc.identifierhttp://arxiv.org/abs/math/9803076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76710
dc.subjectAlgebraic Geometry
dc.titleRiemann-Roch Theorems for Deligne-Mumford Stacks
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