Champs algébriques et foncteur de Picard

Details Champs algébriques et foncteur de Picard Champs algébriques et foncteur de Picard

2008-08-24

arxiv.org/abs/0808.3253v1

Mathematics

Algebraic Geometry

Thesis, June 2007, 108 pages, to serve as a reference for another article

Scientific paper

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 d'un 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.

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