English

Notes on Grothendieck topologies, fibered categories and descent theory

Algebraic Geometry 2007-06-13 v4 Category Theory

Abstract

This is an introduction to Grothendieck's descent theory, with some stress on the general machinery of fibered categories and stacks.

Keywords

Cite

@article{arxiv.math/0412512,
  title  = {Notes on Grothendieck topologies, fibered categories and descent theory},
  author = {Angelo Vistoli},
  journal= {arXiv preprint arXiv:math/0412512},
  year   = {2007}
}

Comments

114 pages. I have corrected a finite, but extremely high, number of errors that have been pointed out to me by various readers. These were mostly typos, but a couple were substantial