Lectures on Vector Bundles (Cambridge Studies in Advanced Mathematics) - Joseph Le Potier (1997)
ISBN 0521481821
Subject Vector bundles
Publisher Cambridge University Press
Publication Date 1/28/1997
Format Hardcover (230 x 154 mm)
Language e
Translator Antony Macioca
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.
Personal Details
Collection Status In Collection
Index 179
Read It Yes
Links Amazon US
Barnes & Noble
Product Details
LoC Classification QA612.63.L4 1997
Dewey 516.3/5
Cover Price $90.00
No. of Pages 259