Riemann-Roch Theorems for Deligne-Mumford Stacks

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The 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.
French, 47 pages, accents correction

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/76710

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9803076
 http://arxiv.org/abs/math/9803076

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arXiv