Champs algébriques et foncteur de PicardReport as inadecuate

 Champs algébriques et foncteur de Picard

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This text is my thesis, defended in June 2007, in the status it was at this time. The most important results are contained in the article -Foncteur de Picard dun champ alg\ebrique- to appear in -Mathematische Annalen- see the preprint arXiv:0711.4545. In the article, some results have been added, and some previous results have been strengthened. However, the proofs of the results contained in the appendix concerning the smooth-\etale cohomology on an algebraic stack have been removed. The thesis is only put on the ArXiv to provide a more lasting reference than my webpage for these proofs.

Author: Sylvain Brochard


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