Convex Fujita numbers: projective bundles
Jiaming Chen, Alex K\"uronya, Yusuf Mustopa, Jakob Stix
TL;DR
This paper investigates the conditions under which projectivizations of certain vector bundles over curves and abelian varieties are globally generated, focusing on effective criteria related to convex Fujita numbers.
Contribution
It introduces new effective criteria for global generation of projective bundles derived from curve semistable vector bundles.
Findings
Derived bounds for convex Fujita numbers in specific cases
Established global generation conditions for projectivized bundles
Extended results to bundles over abelian varieties
Abstract
We study effective global generation properties of projectivizations of curve semistable vector bundles over curves and abelian varieties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Commutative Algebra and Its Applications