Vector bundles on a formal neighborhood of a curve in a surface

Authors
Ballico, E Gasparim, E
Citation
E. Ballico et E. Gasparim, Vector bundles on a formal neighborhood of a curve in a surface, R MT J MATH, 30(3), 2000, pp. 795-814
Citations number
11
Categorie Soggetti
Mathematics
Journal title
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN journal
00357596 → ACNP
Volume
30
Issue
3
Year of publication
2000
Pages
795 - 814
Database
ISI
SICI code
0035-7596(200023)30:3<795:VBOAFN>2.0.ZU;2-I
Abstract
Here we study vector bundles in a formal or tubular neighborhood of a smoot h projective curve C in a complex surface W. In several cases (e.g., if C h as genus 0 and its normal bundle has degree -1 or -2) we attach to every su ch bundle a series of discrete invariants and "simpler" bundles, and we stu dy the set of all bundles with fixed invariants.