Rank 2 Ulrich bundles on general double plane covers
Ronnie Sebastian, Amit Tripathi

TL;DR
This paper proves that general double covers of the projective plane ramified along smooth curves of degree at least 6 support special rank 2 Ulrich bundles, expanding understanding of vector bundles on such surfaces.
Contribution
It establishes the existence of rank 2 special Ulrich bundles on general double plane covers ramified along smooth curves of degree 2s for s ≥ 3.
Findings
Existence of rank 2 Ulrich bundles on these covers.
Supports conjectures about Ulrich bundles on branched covers.
Advances classification of vector bundles on algebraic surfaces.
Abstract
We prove that a double cover of ramified along a general smooth curve B of degree , for , supports a rank 2 special Ulrich bundle.
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.
