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arXiv:math/0504020 [math.AG]AbstractReferencesReviewsResources

The Picard scheme

Steven L. Kleiman

Published 2005-04-01Version 1

We develop in detail most of the theory of the Picard scheme that Grothendieck sketched in two Bourbaki talks and in commentaries on them. Also, we review in brief much of the rest of the theory developed by Grothendieck and by others. But we begin with a twelve-page historical introduction, which traces the development of the ideas from Bernoulli to Grothendieck, and which may appeal to a wider audience.

Comments: 83 pages, expanded notes on the author's lectures at the ICTP Advanced School in Basic Algebraic Geometry, 7-18 July 2003
Categories: math.AG
Subjects: 14K30, 14C20, 14C17, 14-03
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