Notes on Grothendieck topologies, fibered categories and descent theory
Angelo Vistoli

TL;DR
This paper introduces Grothendieck's descent theory, emphasizing the machinery of fibered categories and stacks to facilitate understanding of descent in algebraic geometry.
Contribution
It provides an accessible introduction to descent theory, fibered categories, and stacks, highlighting their interrelations and foundational role in algebraic geometry.
Findings
Clarifies the role of fibered categories in descent theory
Explains the concept of stacks in the context of Grothendieck topologies
Provides foundational insights into the machinery underlying descent
Abstract
This is an introduction to Grothendieck's descent theory, with some stress on the general machinery of fibered categories and stacks.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models
