Subvarieties with partially ample normal bundle
Mihai Halic
TL;DR
This paper proves that certain subvarieties with partially ample normal bundles in smooth projective varieties have the G2-property, extending previous results by Hartshorne and B escu-Schneider.
Contribution
It generalizes the G2-property results to subvarieties with partially ample normal bundles, broadening the understanding of their geometric properties.
Findings
Subvarieties with partially ample normal bundles possess the G2-property.
Generalization of Hartshorne and B escu-Schneider's results.
Enhancement of the theory of subvarieties in algebraic geometry.
Abstract
We show that local complete intersection subvarieties of smooth projective varieties, which have partially ample normal bundle, possess the G2-property. This generalizes results of Hartshorne and B\u{a}descu-Schneider.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry