Vector bundles on trees of smooth rational curves
Geoffrey Smith

TL;DR
This paper characterizes when vector bundles on a tree of rational curves can be specialized from bundles on the projective line, extending previous rank 2 results to higher ranks.
Contribution
It provides necessary and sufficient conditions for the specialization of vector bundles from 1 to trees of rational curves, generalizing prior work on rank 2 bundles.
Findings
Established criteria for bundle specialization on trees of rational curves.
Extended Coskun's rank 2 specialization results to higher ranks.
Provides a comprehensive framework for understanding vector bundle degenerations.
Abstract
Given a vector bundle on a tree of smooth rational curves , we give necessary and sufficient conditions for a vector bundle on to specialize to on , generalizing the rank 2 case, due to Coskun.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Neuroimaging Techniques and Applications
