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We give a complete description of the group of exact autoequivalences of the bounded derived category of coherent sheaves on a K3 surface of Picard rank 1.
On the moduli space of bundles on K 3 K3 surfaces. I
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Reconstruction of a variety from the derived category and groups of autoequivalences
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Braid group actions on derived categories of coherent sheaves
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Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry
B. Szendrői · 2001
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Derived categories of coherent sheaves on abelian varieties and equivalences between them
D. O. Orlov · 2002
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Autoequivalences of derived category of a K 3 K3 surface and monodromy transformations
Shinobu Hosono, Bong H. Lian, Keiji Oguiso, and Shing-Tung Yau · 2004
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Groups of autoequivalences of derived categories of smooth projective varieties, 2005
David Ploog · 2005
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Fourier-Mukai transforms in algebraic geometry
D. Huybrechts · 2006
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Stability conditions on triangulated categories
Tom Bridgeland · 2007
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Stability conditions on K 3 K3 surfaces
Tom Bridgeland · 2008
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Stability conditions for generic K 3 K3 categories
Daniel Huybrechts, Emanuele Macrì, and Paolo Stellari · 2008
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Maxim Kontsevich and Yan Soibelman · 2008
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Completions, branched covers, Artin groups and singularity theory
Daniel Allcock · 2011
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The space of stability conditions on the local projective plane
Arend Bayer and Emanuele Macrì · 2011
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Braid groups and Kleinian singularities
Christopher Brav and Hugh Thomas · 2011
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The modular curve as the space of stability conditions of a CY3 algebra, 2011, arXiv:1111.4184
Tom Sutherland · 2011
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Cusps of the Kähler moduli space and stability conditions on K3 surfaces
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Spaces of stability conditions
Tom Bridgeland · 2009
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Derived equivalences of K 3 K3 surfaces and orientation
Daniel Huybrechts, Emanuele Macrì, and Paolo Stellari · 2009
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Infinitesimal derived Torelli theorem for K 3 K3 surfaces
Emanuele Macrì and Paolo Stellari · 2009
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Stability conditions on A n A_{n} -singularities
Akira Ishii, Kazushi Ueda, and Hokuto Uehara · 2010
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Heinrich Hartmann · 2012
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Stability conditions via spherical objects
D. Huybrechts · 2012
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Kotaro Kawatani · 2012
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MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations
Arend Bayer and Emanuele Macrì · 2014
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Autoequivalences of toric surfaces
Nathan Broomhead and David Ploog · 2014
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Stability conditions and quantum dilogarithm identities for Dynkin quivers
Yu Qiu · 2015
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