Hartogs phenomena for Hermitian vector bundles
A survey of boundary value problems for bundles over complex spaces
Let be a reduced -dimensional complex space, for which the set of singularities consists of finitely many points. If denotes the set of smooth points, the author considers a holomorphic vector bundle , equipped with a Hermitian metric , where represents a closed analytic subset of complex codimension at least two. The results, surveyed in this paper, provide criteria for holomorphic extension of across , or across the singular points of if . The approach taken here is via the metric...
A removable singularities theorem for families for ruled surfaces.
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