On the connectedness of the real part of moduli spaces of vector bundles on real algebraic surfaces

Authors
Ballico, E
Citation
E. Ballico, On the connectedness of the real part of moduli spaces of vector bundles on real algebraic surfaces, J AUS MAT A, 68, 2000, pp. 41-54
Citations number
16
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115 → ACNP
Volume
68
Year of publication
2000
Part
1
Pages
41 - 54
Database
ISI
SICI code
0263-6115(200002)68:<41:OTCOTR>2.0.ZU;2-X
Abstract
Let X be a smooth projective surface with q(X) = 0 defined over R and M(X; r; c(1), c(2); H) the moduli space of H-stable rank r vector bundles on X w ith Chern classes cl and c(2) Assume either r = 3 and X(R) connected or r = 3 and X(R) = empty set or r = 2 and X(R) = empty set. We prove that quite often M is connected.