STABLE SHEAVES OVER K3 FIBRATIONS

DOI10.1142/S0129167X10005908zbMath1191.14052arXiv0802.2903OpenAlexW2963230163MaRDI QIDQ5305524

Darío Sánchez Gómez, Björn Andreas, Daniel Hernandez Ruiperez

Publication date: 22 March 2010

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

Full work available at URL: https://arxiv.org/abs/0802.2903

zbMATH Keywords

moduli spacesCalabi-Yau threefoldFourier-Mukai transformstable extensionsspectral bundles\(K3\) fibrations

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (2)

Relative Fourier–Mukai transforms for Weierstraß fibrations, abelian schemes and Fano fibrations ⋮ Fourier-Mukai transforms of slope stable torsion-free sheaves on a product elliptic threefold

Cites Work

• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Stable bundle extensions on elliptic Calabi-Yau threefolds
• Fourier-Mukai transforms for K3 and elliptic fibrations
• D-branes on \(K3\)-fibrations

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