Stability and the Fourier–Mukai transform II

DOI10.1112/S0010437X08003758zbMath1165.14033MaRDI QIDQ3616543

Kōta Yoshioka

Publication date: 25 March 2009

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

Full work available at URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4246780&fulltextType=RA&fileId=S0010437X08003758

zbMATH Keywords

\(K3\) surfaceabelian surfaceFourier-Mukai functorModuli of stable sheaves

Mathematics Subject Classification ID

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

Related Items

aCM bundles on a general abelian surface, Fourier-Mukai transform on abelian surfaces, Perverse coherent sheaves and Fourier-Mukai transforms on surfaces. I., Bridgeland's stabilities on abelian surfaces, Moduli spaces of sheaves on \(K3\) surfaces, Projectivity and birational geometry of Bridgeland moduli spaces, Stability of Gieseker stable sheaves on \(K3\) surfaces in the sense of Bridgeland and some applications, Fourier-Mukai duality for \(K3\) surfaces via Bridgeland stability condition, Stability and certain \(\mathbb{P}^n\)-functors, Birational maps of moduli spaces of vector bundles on \(K3\) surfaces, The K3 category of a cubic fourfold, Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds, Formality conjecture for K3 surfaces, Relative compactified Jacobiansof linear systemson Enriques surfaces, The space of stability conditions on the local projective plane, Monodromy and birational geometry of O'Grady's sixfolds, Examples of Irreducible Symplectic Varieties, Singularities of moduli spaces of sheaves on $K3$ surfaces and Nakajima quiver varieties, The wall-crossing behavior for Bridgeland's stability conditions on abelian and \(K3\) surfaces, Moduli spaces of stable sheaves on Enriques surfaces, Formality conjecture for minimal surfaces of Kodaira dimension 0, MMP via wall-crossing for moduli spaces of stable sheaves on an Enriques surface, Perverse coherent sheaves and Fourier-Mukai transforms on surfaces. II.

Cites Work

• Unnamed Item
• Semi-homogeneous vector bundles on an abelian variety
• Equivalences of derived categories and \(K3\) surfaces
• Stability and the Fourier-Mukai transform. I
• Stability conditions on \(K3\) surfaces
• Equivalences of twisted K3 surfaces
• The k - Very Ampleness and k - Spannedness on Polarized Abelian Surfaces
• Equivalences of Triangulated Categories and Fourier-Mukai Transforms
• Singularities on the 2-Dimensional Moduli Spaces of Stable Sheaves on K3 Surfaces
• Derived and abelian equivalence of K3 surfaces
• Moduli spaces of stable sheaves on abelian surfaces.