O’Grady’s birational maps and strange duality via wall-hitting

DOI10.1142/S0129167X19500447zbMath1432.14010OpenAlexW2952821687MaRDI QIDQ5233992

Huachen Chen

Publication date: 9 September 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x19500447

zbMATH Keywords

derived categoryBridgeland stability conditionsmoduli spaces of sheaves and complexes

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Algebraic moduli problems, moduli of vector bundles (14D20) Derived categories, triangulated categories (18G80)

Cites Work

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• Generic strange duality for \(K3\) surfaces
• MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
• Bridgeland stability of line bundles on surfaces
• Bridgeland-stable moduli spaces for \(K\)-trivial surfaces
• The minimal model program for the Hilbert scheme of points on \(\mathbb P^2\) and Bridgeland stability
• Stability conditions on \(K3\) surfaces
• Stability conditions on triangulated categories
• Moduli stacks and invariants of semistable objects on \(K3\) surfaces
• Projectivity and birational geometry of Bridgeland moduli spaces
• A tour of theta dualities on moduli spaces of sheaves
• The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface
• Wall-crossing implies Brill-Noether: Applications of stability conditions on surfaces

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