Chern classes of bundles on blown-up surfaces

被引：6

作者：

Gasparim, E ^{[1
]}

机构：

[1] Univ Fed Pernambuco, Dept Matemat, BR-50670901 Recife, PE, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2000年 / 28卷 / 10期

关键词：

D O I：

10.1080/00927870008827131

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the blow up pi:(X) over tilde --> X of a complex surface X at a point. Let (E) over tilde be a holomorphic bundle on (X) over tilde whose restriction 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 second Chern classes j less than or equal to c(2)((E) over tilde) - c(2)(E) less than or equal to j(2). We show that these bounds are sharp.

引用

页码：4919 / 4926

页数：8

共 10 条

[1]

BALLICO E, 1999, NUMERICAL INVARIANTS

[2]

BUCHDAHL NP, 1995, BLOWUPS GAUGE FIELDS

[3]

FRIEDMAN R, 1988, J DIFFER GEOM, V27, P371

[4] Holomorphic bundles on O(-k) are algebraic [J].

Gasparim, E .

COMMUNICATIONS IN ALGEBRA, 1997, 25 (09) :3001-3009

[5] Rank two bundles on the blow-up of C2 [J].

Gasparim, E .

JOURNAL OF ALGEBRA, 1998, 199 (02) :581-590

[6]

GASPARIM E, 1998, B SOC PARANA MAT, V18, P1

[7]

Hartshorne R., 1977, ALGEBRAIC GEOM

[8]

LANG S, 1993, ALGEBRA

[9]

LUBKE M, 1995, KOBAYIASHI HITCHIN C

[10]

TAUBES CH, 1989, J DIFFER GEOM, V29, P163

← 1 →