Brill-Noether and existence of semistable sheaves for del Pezzo surfaces

DOI10.5802/AIF.3619MaRDI QIDQ6567978

Daniel S. Levine, Shizhuo Zhang

Publication date: 5 July 2024

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

zbMATH Keywords

del Pezzo surfacesBrill-Noether theorymoduli spaces of sheavesBogomolov inequalities

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) Fano varieties (14J45)

Cites Work

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• Components of the stack of torsion-free sheaves of rank 2 on ruled surfaces
• Existence of semistable sheaves on Hirzebruch surfaces
• On rational surfaces, II
• Fibrés stables et fibrés exceptionnels sur $\mathbb{P}_2$
• Complete Linear Systems on Rational Surfaces
• Degenerations of Planar Linear Systems
• Irreducibility of Moduli Spaces of Vector Bundles on Birationally Ruled Surfaces
• A description of Chern classes of semistable sheaves on a quadric surface.
• Birational geometry of moduli spaces of sheaves and Bridgeland stability
• Weak Brill-Noether for rational surfaces
• EXCEPTIONAL SHEAVES ON DEL PEZZO SURFACES
• BRILL–NOETHER THEOREMS AND GLOBALLY GENERATED VECTOR BUNDLES ON HIRZEBRUCH SURFACES
• Variations on Nagata's Conjecture

Related Items (1)

The Brill-Noether theory of the moduli spaces of sheaves on surfaces

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