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Currently displaying 1 – 3 of 3

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A removable singularities theorem for families for ruled surfaces.

Adam Harris — 1996

Mathematische Zeitschrift

A survey of boundary value problems for bundles over complex spaces

Harris, Adam — 2002

Proceedings of the 21st Winter School "Geometry and Physics"

Let $X$ be a reduced $n$ -dimensional complex space, for which the set of singularities consists of finitely many points. If $X^{'} \subseteq X$ denotes the set of smooth points, the author considers a holomorphic vector bundle $E \to X^{'} ∖ A$ , equipped with a Hermitian metric $h$ , where $A$ represents a closed analytic subset of complex codimension at least two. The results, surveyed in this paper, provide criteria for holomorphic extension of $E$ across $A$ , or across the singular points of $X$ if $A = ⌀$ . The approach taken here is via the metric...

Hartogs phenomena for Hermitian vector bundles

Harris, Adam — 1999

Proceedings of the 18th Winter School "Geometry and Physics"

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