Towards a modular construction of OG10

DOI10.1112/s0010437x24007528MaRDI QIDQ6648689

Alessio Bottini

Publication date: 5 December 2024

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

moduli spaceshyper-Kähler manifoldsstable vector bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Symplectic structures of moduli spaces (53D30) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Cites Work

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• Mapping class group and a global Torelli theorem for hyperkähler manifolds
• \(\mathbb P\)-objects and autoequivalences of derived categories
• Coherent sheaves on general \(K3\) surfaces and tori
• Deformations and Fourier-Mukai transforms
• Symplectic structures on moduli spaces of sheaves via the Atiyah class
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Simple vector bundles over symplectic Kähler manifolds
• Stable reflexive sheaves
• A Lie algebra attached to a projective variety
• Birational symplectic manifolds and their deformations
• D-branes, \(B\) fields, and ext groups
• Cohomology of compact hyperkähler manifolds and its applications
• Hyper-holomorphic connections on vector bundles on hyper-Kähler manifolds
• Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences
• Desingularized moduli spaces of sheaves on a K3
• The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface
• A new six-dimensional irreducible symplectic variety
• Autoduality of compactified Jacobians for curves with plane singularities
• Modular sheaves on hyperkähler varieties
• The Beauville-Bogomolov class as a characteristic class
• Derived categories of hyper-Kähler manifolds: extended Mukai vector and integral structure
• Moduli spaces of stable sheaves on abelian surfaces.
• Derived equivalences of hyperkähler varieties

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