A lower bound for the number of components of the moduli schemes of stablerank 2 vector bundles on projective 3-folds

Citation
E. Ballico et Rm. Miro-roig, A lower bound for the number of components of the moduli schemes of stablerank 2 vector bundles on projective 3-folds, P AM MATH S, 127(9), 1999, pp. 2557-2560
Citations number
6
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
9
Year of publication
1999
Pages
2557 - 2560
Database
ISI
SICI code
0002-9939(199909)127:9<2557:ALBFTN>2.0.ZU;2-4
Abstract
Fix a smooth projective 3-fold X,c(1),H is an element of Pic(X) with H ampl e, and d is an element of Z. Assume the existence of integers a; b with a n ot equal 0 such that ac(1) is numerically equivalent to bH. Let M (X, 2; c( 1); d, H) be the moduli scheme of H-stable rank 2 vector bundles, E, on X w ith c(1) (E) = c(1) and c(2)(E) . H = d. Let m(X; 2; c1; d;H) be the number of its irreducible components. Then lim sup(d-->infinity) m(X; 2; c(1); d; H) = +infinity.