nLab Angelo Vistoli

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Selected writings

On basics of algebraic geometry following Grothendieck‘s FGA:

• Barbara Fantechi, Lothar Göttsche, Luc Illusie, Steven L. Kleiman, Nitin Nitsure, Angelo Vistoli:

  FGA explained (ICTP, Trieste 2003–2005)

  Mathematical Surveys and Monographs 123

  Amer. Math. Soc. 2005. x+339 pp.

  • ISBN:978-0-8218-4245-4

    MR2007f:14001

    lecture notes

Specifically on Grothendieck topologies, fibered categories and descent:

• Angelo Vistoli: Notes on Grothendieck topologies, fibered categories and descent theory [math.AG/0412512, pdf, MR2223406] in: Fantechi et al. (eds.): Fundamental algebraic geometry. Grothendieck’s FGA explained, Mathematical Surveys and Monographs 123, Amer. Math. Soc. (2005) 1–104 [ISBN:978-0-8218-4245-4, MR2007f:14001]

Related entries

• Grothendieck fibration

• Grothendieck topology

• stack

• descent

• FGA explained

• descent along a torsor

• fibered category, representable fibered category

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