Exceptional collections, and the Néron-Severi lattice for surfaces

DOI10.1016/j.aim.2016.10.012zbMath1387.14061arXiv1504.01776OpenAlexW1921920143MaRDI QIDQ340427

Charles Vial

Publication date: 14 November 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01776

zbMATH Keywords

algebraic surfacesprojective spacerationalitymotivesexceptional collectionsderived category of coherent sheaves

Mathematics Subject Classification ID

Related Items (16)

Applications of toric systems on surfaces ⋮ Integral Chow motives of threefolds with $K$-motives of unit type ⋮ Exceptional collections on Dolgachev surfaces associated with degenerations ⋮ Derived categories of centrally‐symmetric smooth toric Fano varieties ⋮ A phantom on a rational surface ⋮ Exceptional collections in surface-like categories ⋮ Combinatorial aspects of exceptional sequences on (rational) surfaces ⋮ No phantoms in the derived category of curves over arbitrary fields, and derived characterizations of Brauer-Severi varieties ⋮ Categorical characterization of quadrics ⋮ Exceptional collections on nonminimal Enriques surfaces ⋮ Some remarks on phantom categories and motives ⋮ On cyclic strong exceptional collections of line bundles on surfaces ⋮ Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations ⋮ Some new categorical invariants ⋮ Cycles, derived categories, and rationality ⋮ On derived categories of arithmetic toric varieties

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