Autoequivalences of toric surfaces

DOI10.1090/S0002-9939-2014-11530-9zbMath1286.14053arXiv1010.1717MaRDI QIDQ5401353

David Ploog, Nathan T. Broomhead

Publication date: 13 March 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1717

zbMATH Keywords

derived categoryexceptional objecttoric surfacegroup of autoequivalences

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

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Cites Work

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• Torus invariant divisors
• Big rational surfaces
• Stability conditions on \(A_n\)-singularities
• Algebraic surfaces with k*-action
• Equivalences of derived categories and \(K3\) surfaces
• \(D\)-equivalence and \(K\)-equivalence
• Braid group actions on derived categories of coherent sheaves.
• Autoequivalences of derived categories on the minimal resolutions of \(A_n\)-singularities on surfaces
• Reconstruction of a variety from the derived category and groups of autoequivalences
• Introduction to Toric Varieties. (AM-131)
• Fourier-Mukai transforms for K3 and elliptic fibrations
• Duality between D(X) and with its application to picard sheaves
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• Derived categories of coherent sheaves on Abelian varieties and equivalences between them
• Exceptional sequences of invertible sheaves on rational surfaces