ENGLISH

Lectures on Vector Bundles

By J. Le Potier

Book information

Publisher
Cambridge University Press
Year
1997
ISBN
0521481821, 9780521481823
LCC
QA612.63 .L4 1997
Language
english
Format
DJVU
Filesize
2 MB (1766419 bytes)
Series
Cambridge Studies in Advanced Mathematics 54
Pages
245\245
Orientation
no
Scanned
yes
Time added
2014-10-05 02:30:00

Description

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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