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    3. Deformations of Algebraic Schemes

    Deformations of Algebraic Schemes

    Posted By: insetes
    Date: 22 May 2021 05:41:48
    Deformations of Algebraic Schemes

    Deformations of Algebraic Schemes By Edoardo Sernesi
    2010 | 342 Pages | ISBN: 3642067875 | PDF | 20 MB


    This self-contained account of deformation theory in classical algebraic geometry (over an algebraically closed field) brings together for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet of everyday relevance to algebraic geometers. It includes applications to the construction and properties of Severi varieties of families of plane nodal curves, space curves, deformations of quotient singularities, Hilbert schemes of points, local Picard functors, etc. Many examples are provided. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.
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