Autoequivalences of derived category of a K3 surface and monodromy transformations

DOI10.1090/S1056-3911-04-00364-9zbMath1070.14042arXivmath/0201047OpenAlexW2067424340WikidataQ126172241 ScholiaQ126172241MaRDI QIDQ4831698

Keiji Oguiso, Shinobu Hosono, Shing Tung Yau, Bong H. Lian

Publication date: 3 January 2005

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201047

zbMATH Keywords

homological mirror symmetryFourier-Mukai transformsMukai latticemarked polarized \(K3\) surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32)

Related Items (22)

Cubic Fourfolds, K3 Surfaces, and Rationality Questions ⋮ Inducing stability conditions ⋮ Reflexive Polytopes and Lattice-Polarized K3 Surfaces ⋮ Minuscule Schubert varieties and mirror symmetry ⋮ Homological mirror symmetry for the quartic surface ⋮ Fourier-Mukai transformations on \(K3\) surfaces with \(\rho = 1\) and Atkin-Lehner involutions ⋮ BCOV cusp forms of lattice polarized K3 surfaces ⋮ Derived equivalences of hyperkähler varieties ⋮ Moduli of stable sheaves on a \(\mathrm{K3}\) surface of Picard number \(1\) ⋮ Autoequivalences of twisted K3 surfaces ⋮ Cusps of the Kähler moduli space and stability conditions on \(K3\) surfaces ⋮ Equivalence of K3 surfaces from Verra threefolds ⋮ MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations ⋮ Appendix: Introduction to Derived Categories of Coherent Sheaves ⋮ Dual pairs of gauged linear sigma models and derived equivalences of Calabi-Yau threefolds ⋮ Automorphisms and autoequivalences of generic analytic \(K3\) surfaces ⋮ Equivalences of twisted K3 surfaces ⋮ Some remarks about the FM-partners of \(K\)3 surfaces with Picard numbers 1 and 2 ⋮ On the monodromy of moduli spaces of sheaves on K3 surfaces ⋮ Derived equivalences of K3 surfaces and orientation ⋮ On derived equivalences of \(K3\) surfaces in positive characteristic ⋮ Derived categories of hyper-Kähler manifolds: extended Mukai vector and integral structure

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