K-theory and cohomology of algebraic stacks: Riemann-Roch theorems, D-modules and GAGA theorems

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This is the integral text of my thesis. The first part is an expanded version of "Riemann-Roch theorems for Deligne-Mumford stacks", where I deal with Artin stacks over general bases. In the second part, I prove some Riemann-Roch statment for D-modules on Deligne-Mumford stacks, and I also consider the problem of algebraization of analytic stacks.
207 pages, french, author's PhD. thesis. Few details are corrected

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Algebraic Geometry, K-Theory and Homology, 19E08

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http://salesiana.dossiersoluciones.com/handle/123456789/78976

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9908097
 http://arxiv.org/abs/math/9908097

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arXiv