BRILL–NOETHER THEOREMS AND GLOBALLY GENERATED VECTOR BUNDLES ON HIRZEBRUCH SURFACES

DOI10.1017/nmj.2018.17zbMath1440.14202arXiv1705.08460OpenAlexW2962700496MaRDI QIDQ5112473

Izzet Coskun, Jack Huizenga

Publication date: 29 May 2020

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08460

zbMATH Keywords

Hirzebruch surfacesBrill-Noether theoremsIIstable and globally generated sheaves

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26) Algebraic moduli problems, moduli of vector bundles (14D20)

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A NOTE ON RANK TWO STABLE BUNDLES OVER SURFACES ⋮ Existence of semistable sheaves on Hirzebruch surfaces ⋮ Ample stable vector bundles on rational surfaces ⋮ Le Potier's strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces ⋮ The cohomology of the general stable sheaf on a \(K3\) surface ⋮ Sarkisov links with centre space curves on smooth cubic surfaces ⋮ On the Hilbert scheme of the moduli space of torsion-free sheaves on surfaces ⋮ Mini-workshop: Seshadri constants. Abstracts from the mini-workshop held November 10--16, 2019 ⋮ Stability conditions for restrictions of vector bundles on projective surfaces ⋮ Characterization of Ulrich bundles on Hirzebruch surfaces ⋮ Rank 2 Ulrich bundles on general double plane covers ⋮ The cohomology of general tensor products of vector bundles on \(\mathbb{P}^2\)

Cites Work

• Positive polynomials for ample vector bundles
• Generic fibres on the projective plane
• Effective divisors on the Hilbert scheme of points in the plane and interpolation for stable bundles
• Irreducibility of Moduli Spaces of Vector Bundles on Birationally Ruled Surfaces
• The Geometry of Syzygies
• Weak Brill-Noether for rational surfaces
• Degenerations of surface scrolls and the Gromov-Witten invariants of Grassmannians
• P-Ample Bundles and Their Chern Classes
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