Rigid holomorphic rank 2 vector bundles on non-Kähler surfaces

Abstract

The interest in rigid vector bundles (with respect to determinant preserving deformations) stems from various sources. From a geometric point of view, non-Kähler 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-Kähler surfaces is presented. The largest gap of knowledge is for minimal class VII surfaces with $b_2(X)\ge 4$.

16 pages; some typos and coding errors corrected

References in corpus (1)

• Stable bundles on Hopf manifolds