Numerical invariants for bundles on blow-ups

Citation
E. Ballico et E. Gasparim, Numerical invariants for bundles on blow-ups, P AM MATH S, 130(1), 2001, pp. 23-32
Citations number
9
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
130
Issue
1
Year of publication
2001
Pages
23 - 32
Database
ISI
SICI code
0002-9939(2001)130:1<23:NIFBOB>2.0.ZU;2-I
Abstract
We suggest an effective procedure to calculate numerical invariants for ran k two bundles over blown-up surfaces. We study the moduli spaces M-j of ran k two bundles on the blown-up plane splitting over the exceptional divisor as O(j)circle times O (-j): We use the numerical invariants to give a topol ogical decomposition of M-j.