The Hartogs Extension Theorem for holomorphic vector bundles and sprays
Rafael B. Andrist, Nikolay Shcherbina, Erlend F. Wold
TL;DR
This paper investigates the extension properties of holomorphic vector bundles and sprays on Stein manifolds, focusing on the Hartogs extension theorem and ellipticity conditions.
Contribution
It extends the Hartogs theorem to holomorphic vector bundles and sprays, providing new insights into their extension and ellipticity properties on Stein manifolds.
Findings
Ellipticity properties of complements of compact subsets are characterized.
Extension results for holomorphic vector bundles are established.
Conditions for sprays to extend across compact subsets are identified.
Abstract
We study ellipticity properties of complements of compact subsets of Stein manifolds.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology