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Lectures on Vector Bundles (Cambridge Studies in Advanced Mathematics)
Lectures on Vector Bundles (Cambridge Studies in Advanced Mathematics) Summary:
This work consists of two sections on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on algebraic curves. The author also discusses the construction and elementary properties of the moduli spaces of stable bundles. In particular Le Potier constructs HilbertSHGrothendieck schemes of vector bundles, and treats Mumford’s geometric invariant theory. The second part centers on the structure of the moduli space of semistable sheaves on the projective plane. The author sketches existence conditions for sheaves of given rank, and Chern class and construction ideas in the general context of projective algebraic surfaces. Professor Le Potier provides a treatment of vector bundles that will be welcomed by experienced algebraic geometers and novices alike.
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Sponsored LinksLectures on Vector Bundles (Cambridge Studies in Advanced Mathematics) Keywordsbundles vector moduli algebraic projective potier construction sheaves spaces conditions rank centers structure existence chern sketches semistable ideas treatment welcomed experienced vector bundles moduli spaces hilbertshgrothendieck schemes constructs hilbertshgrothendieck potier constructs elementary properties advanced mathematics algebraic curves stable bundlesLectures on Vector Bundles (Cambridge Studies in Advanced Mathematics) download copyrightThis site does not store Lectures on Vector Bundles (Cambridge Studies in Advanced Mathematics) on its server. We only index and link to Lectures on Vector Bundles (Cambridge Studies in Advanced Mathematics) provided by other sites. Please contact the content providers to delete Lectures on Vector Bundles (Cambridge Studies in Advanced Mathematics) if any and email us, we'll remove relevant links or contents immediately. |
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