Chern classes of bundles on blown-up surfaces

Authors
Gasparim, E
Citation
E. Gasparim, Chern classes of bundles on blown-up surfaces, COMM ALGEB, 28(10), 2000, pp. 4919-4926
Citations number
10
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
28
Issue
10
Year of publication
2000
Pages
4919 - 4926
Database
ISI
SICI code
0092-7872(2000)28:10<4919:CCOBOB>2.0.ZU;2-6
Abstract
Consider the blow up pi:(X) over tilde --> X of a complex surface X at a po int. Let (E) over tilde be a holomorphic bundle on (X) over tilde whose res triction to the exceptional divisor is O(j) + O(-j), and define E = (pi,(E) over tilde)(VV). Friedman and Morgan gave the following bounds for the sec ond Chern classes j less than or equal to c(2)((E) over tilde) - c(2)(E) le ss than or equal to j(2). We show that these bounds are sharp.