Full exceptional collections of line bundles on the blow-up of \({\mathbb{P}}^5\) along Segre threefold

DOI10.1007/S00229-024-01569-9MaRDI QIDQ6593262

Tomoki Yoshida

Publication date: 26 August 2024

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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• Geometric phantom categories
• Exceptional sequences on rational \({\mathbb{C}^{*}}\)-surfaces
• Determinantal Barlow surfaces and phantom categories
• Examples of blown up varieties having projective bundle structures
• Reconstruction of a variety from the derived category and groups of autoequivalences
• REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES
• REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
• ASYMPTOTIC INVARIANTS OF SMOOTH MANIFOLDS
• EXCEPTIONAL SHEAVES ON DEL PEZZO SURFACES
• Embedding derived categories of Enriques surfaces in derived categories of Fano varieties
• Classification of full exceptional collections of line bundles on three blow-ups of $\mathbb{P}^{3}$
• Semiorthogonal decompositions in algebraic geometry
• A phantom on a rational surface

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