Stable ample 2-vector bundles on Hirzebruch surfaces
Alexandru Sterian
TL;DR
This paper investigates the stability conditions of all rank-2 ample vector bundles on Hirzebruch surfaces with low second Chern class, providing a comprehensive classification.
Contribution
It offers a complete analysis of stability for rank-2 ample vector bundles on Hirzebruch surfaces with second Chern class less than 7, filling a gap in the literature.
Findings
Classified stable rank-2 ample vector bundles on Hirzebruch surfaces.
Identified conditions for stability based on Chern classes.
Extended understanding of vector bundle stability in algebraic geometry.
Abstract
We discuss stability conditions for all rank-2 ample vector bundles on Hirzebruch surfaces with the second Chern class less than 7.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology