Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two

DOI10.1515/advgeom-2022-0025OpenAlexW3028530127MaRDI QIDQ2684905

Dae-Won Lee

Publication date: 17 February 2023

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

Full work available at URL: https://arxiv.org/abs/2005.09783

zbMATH Keywords

semiorthogonal decompositionderived category of coherent sheavesfull exceptional collection

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05)

Uses Software

• QuiversToricVarieties
• GenerationToricFanoFourfolds

Cites Work

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• Tilting bundles on toric Fano fourfolds
• Derived categories of toric varieties. II.
• Exceptional sequences on rational \({\mathbb{C}^{*}}\)-surfaces
• On the derived category of the classical Godeaux surface
• Family of counterexamples to King's conjecture
• On the full, strongly exceptional collections on toric varieties with Picard number three
• Frobenius splitting and derived category of toric varieties
• Derived categories of toric varieties
• On the conjecture of King for smooth toric Deligne-Mumford stacks
• The classification of Fano 3-folds with torus embeddings
• On the derived categories of coherent sheaves on some homogeneous spaces
• A classification of toric varieties with few generators
• Exceptional and rigid sheaves on surfaces with anticanonical class without base components
• Immaculate line bundles on toric varieties
• Derived category of toric varieties with small Picard number
• Derived category of fibrations
• Exceptional collections of line bundles on the Beauville surface
• On the Jordan-Hölder property for geometric derived categories
• Reconstruction of a variety from the derived category and groups of autoequivalences
• Exceptional collections on toric Fano threefolds and birational geometry
• Maximal lengths of exceptional collections of line bundles
• REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES
• A counterexample to King's conjecture
• Derived Categories of Toric Fano 3-Folds via the Frobenius Morphism
• ASYMPTOTIC INVARIANTS OF SMOOTH MANIFOLDS
• Strong full exceptional collections on certain toric varieties with Picard number three via mutations
• EXCEPTIONAL SHEAVES ON DEL PEZZO SURFACES
• Exceptional sequences of invertible sheaves on rational surfaces
• Classification of full exceptional collections of line bundles on three blow-ups of $\mathbb{P}^{3}$
• Semiorthogonal decompositions in algebraic geometry

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