Unfiltrable holomorphic vector bundles in a cyclic quotient of ${C^2\setminus \{0\}}$
by E. Ballico  

Vol. 1 No. 2 (2006) P.337~P.340

ABSTRACT

Let $G:= \mathbf{Z}/n\mathbf{Z}, n \ge 2$ act diagonally on $\mathbf{C}^2$ and set $X := \mathbf{C}^2$ \ {0}$/G$ (a punctured neighborhood for the normal surface singularity $A_{n-1}$). Here we prove the existence of a rank two holomorphic vector bundle on $X$ without rank one subsheaves.

KEYWORDS
Holomorphic bundle

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 32L05, 32L010, 32S05

MILESTONES

Received: 2004-05-05
Revised : 2004-09-07
Accepted:

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