Rank two Fourier-Mukai transforms for \(K3\) surfaces

DOI10.1016/j.geomphys.2017.01.020zbMath1453.14052arXiv1608.04786OpenAlexW2515492666MaRDI QIDQ2360608

Antony Maciocia

Publication date: 4 July 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04786

zbMATH Keywords

\(K3\) surfacesHilbert schemessimple bundlesFourier-Mukai transformssheaf moduli spaces

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) (K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

• Fourier-Mukai and Nahm transforms in geometry and mathematical physics
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Duality between D(X) and with its application to picard sheaves
• Equivalences of Triangulated Categories and Fourier-Mukai Transforms
• A Fourier-Mukai Transform for Stable Bundles on K3 Surfaces
• Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles
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