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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