Algebraic Geometry

Download E-books Lectures on Vector Bundles (Cambridge Studies in Advanced Mathematics) PDF

This paintings includes sections at the moduli areas of vector bundles. the 1st half tackles the category of vector bundles on algebraic curves. the writer additionally discusses the development and straightforward homes of the moduli areas of sturdy bundles. specifically Le Potier constructs HilbertSHGrothendieck schemes of vector bundles, and treats Mumford's geometric invariant idea. the second one half facilities at the constitution of the moduli area of semistable sheaves at the projective airplane. the writer sketches life stipulations for sheaves of given rank, and Chern type and building rules within the common context of projective algebraic surfaces. Professor Le Potier presents a remedy of vector bundles that would be welcomed through skilled algebraic geometers and newcomers alike.

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