Mathematics – Algebraic Geometry
Scientific paper
2011-04-13
Mathematics
Algebraic Geometry
16 pages; some typos and coding errors corrected
Scientific paper
The interest in rigid vector bundles (with respect to determinant preserving deformations) stems from various sources. From a geometric point of view, non-K\"ahler manifolds are of particular interest with respect to this problem. In this article, a description of the various possible cases of rigid rank 2 bundles on non-K\"ahler surfaces is presented. The largest gap of knowledge is for minimal class VII surfaces with $b_{2}(X)\ge 4$.
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