Algebraic stacks

1999/11/25 by T. Gomez, Gomez, T. · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9911199

31 pages, LaTeX2e, Xy-pic

arxiv created 1999/11/25 · arxiv updated 2009/11/30

Abstract

This is an expository article on the theory of algebraic stacks. After introducing the general theory, we concentrate in the example of the moduli stack of vector budles, giving a detailed comparison with the moduli scheme obtained via geometric invariant theory.

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• Isomorphisms between moduli stacks of vector bundles with fixed determinant

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