Exceptional collections on toric Fano threefolds and birational geometry

DOI10.1142/S0129167X14500724zbMath1310.14025arXiv1012.4086MaRDI QIDQ2878773

Hokuto Uehara

Publication date: 5 September 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4086

zbMATH Keywords

derived categoriesbirational geometryexceptional collectionstoric Fano 3-folds

Mathematics Subject Classification ID

Related Items (8)

Tilting bundles on toric Fano fourfolds ⋮ On Landau-Ginzburg systems, quivers and monodromy ⋮ Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two ⋮ Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks ⋮ On Landau–Ginzburg systems, co-tropical geometry, and Db(X) of various toric Fano manifolds ⋮ Strong full exceptional collections on certain toric varieties with Picard number three via mutations ⋮ On derived categories of arithmetic toric varieties ⋮ The toric Frobenius morphism and a conjecture of Orlov

Cites Work

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• Derived category of fibrations
• Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks
• Introduction to Toric Varieties. (AM-131)
• A counterexample to King's conjecture
• TOROIDAL FANO 3-FOLDS
• Exceptional sequences of invertible sheaves on rational surfaces

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