Singularities on the 2-Dimensional Moduli Spaces of Stable Sheaves on K3 Surfaces

DOI10.1142/S0129167X03002022zbMath1053.14052arXivmath/0208241OpenAlexW2963557040MaRDI QIDQ4474446

Nobuaki Onishi, Kōta Yoshioka

Publication date: 12 July 2004

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

Full work available at URL: https://arxiv.org/abs/math/0208241

zbMATH Keywords

vector bundlesMcKay correspondenceFourier-Mukai transformationtwisted sheaves

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Singularities of surfaces or higher-dimensional varieties (14J17)

Related Items (5)

Perverse coherent sheaves and Fourier-Mukai transforms on surfaces. I. ⋮ Fourier-Mukai duality for \(K3\) surfaces via Bridgeland stability condition ⋮ The wall-crossing behavior for Bridgeland's stability conditions on abelian and \(K3\) surfaces ⋮ Stability and the Fourier–Mukai transform II ⋮ Perverse coherent sheaves and Fourier-Mukai transforms on surfaces. II.

Cites Work

• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Stable pairs, linear systems and the Verlinde formula
• A remark on the 2-dimensional moduli spaces of vector bundles on \(K3\) surfaces.
• Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces
• Geometric Invariant Theory
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Mumford–Thaddeus Principle on the Moduli Space of Vector Bundles on an Algebraic Surface
• Moduli spaces of stable sheaves on abelian surfaces.

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