TILTING CHAINS OF NEGATIVE CURVES ON RATIONAL SURFACES

DOI10.1017/nmj.2017.40zbMath1440.14085arXiv1703.09350OpenAlexW3099971996MaRDI QIDQ5112735

David Ploog, Lutz Hille

Publication date: 8 June 2020

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09350

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Derived categories and associative algebras (16E35) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (8)

Derived categories of singular surfaces ⋮ Derived Categories of Families of Sextic del Pezzo Surfaces ⋮ A refined derived Torelli theorem for Enriques surfaces ⋮ McKay correspondence, cohomological Hall algebras and categorification ⋮ Rigid divisors on surfaces ⋮ Derived categories of quintic del Pezzo fibrations ⋮ Ringel duality for certain strongly quasi-hereditary algebras ⋮ Exceptional sequences and spherical modules for the Auslander algebra of \(k[x/(x^t)\)]

Cites Work

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• Tilting bundles on rational surfaces and quasi-hereditary algebras
• Quasi-hereditary algebras
• The \(\Delta\)-filtered modules without self-extensions for the Auslander algebra of \(k[T/\langle T^n\rangle\)]
• Exceptional sequences and spherical modules for the Auslander algebra of \(k[x/(x^t)\)]
• Autoequivalences of derived categories on the minimal resolutions of \(A_n\)-singularities on surfaces
• Exceptional sequences of invertible sheaves on rational surfaces

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