TY  - BOOK
AU  - Le Potier, Joseph
TI  - Lectures on vector bundles 
SN  - 9780521481823
U1  - 515.63 
PY  - 1997///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Vector bundles
KW  - Geometry
KW  - Mathematics
N1  - Includes bibliographical references (p. 245-248) and index
N2  - 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
ER  -