English

The Picard scheme

Algebraic Geometry 2007-05-23 v1

Abstract

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.

Cite

@article{arxiv.math/0504020,
  title  = {The Picard scheme},
  author = {Steven L. Kleiman},
  journal= {arXiv preprint arXiv:math/0504020},
  year   = {2007}
}

Comments

83 pages, expanded notes on the author's lectures at the ICTP Advanced School in Basic Algebraic Geometry, 7-18 July 2003