Moduli spaces of stably irreducible sheaves on Kodaira surfaces

DOI10.1515/coma-2023-0101arXiv2112.00058OpenAlexW3216590977MaRDI QIDQ6186039

Eric Boulter

Publication date: 9 January 2024

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.00058

zbMATH Keywords

holomorphic symplectic manifoldsmoduli spaces of holomorphic vector bundles

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Holomorphic bundles and generalizations (32L05) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-dimensional moduli spaces of vector bundles over Kodaira surfaces
• Complex symplectic structures and the \(\partial {\bar{\partial }}\)-lemma
• Variétés kähleriennes dont la première classe de Chern est nulle
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Rank two vector bundles over regular elliptic surfaces
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• Moduli spaces of stable bundles on non-Kählerian elliptic fibre bundles over curves
• Description de Hilb sup(n) C{X,Y}
• Algebraic surfaces and holomorphic vector bundles
• A note on non-filtrable holomorphic bundles.
• Irreducibility of the punctual quotient scheme of a surface
• The Douady space of a complex surface
• Stable bundles on non-Kähler elliptic surfaces
• Examples of compact holomorphic symplectic manifolds which are not Kählerian. II
• Holomorphic vector bundles over compact complex surfaces
• Moduli spaces of Hecke modifications for rational and elliptic curves
• Twisted Fourier-Mukai transforms and bundles on non-Kähler elliptic surfaces
• Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces.
• Homomorphisms between Kaehler groups
• Holomorphic symplectic geometry: a problem list
• Vector Bundles Over an Elliptic Curve
• 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
• Integrable Systems Associated to a Hopf Surface
• Higher direct images of dualizing sheaves of Lagrangian fibrations
• On Guan's examples of simply connected non-Kahler compact complex manifolds
• Geometry and Automorphisms of Non-Kähler Holomorphic Symplectic Manifolds
• Moduli spaces of stable sheaves on abelian surfaces.