2006 / June Volume 1 No.2
Unfiltrable holomorphic vector bundles in a cyclic quotient of ${C^2\setminus \{0\}}$
| Published Date |
2006 / June
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|---|---|
| Title | Unfiltrable holomorphic vector bundles in a cyclic quotient of ${C^2\setminus \{0\}}$ |
| Author | |
| Keyword | |
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| Pagination | 337-340 |
| 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.
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| AMS Subject Classification |
32L05, 32L010, 32S05
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| Received |
2004-09-07
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