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Mutations of numerically exceptional collections on surfaces

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Publication:6582341
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DOI10.1007/s00209-024-03550-4MaRDI QIDQ6582341

Johannes Krah

Publication date: 2 August 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)




zbMATH Keywords

derived categoriesrational surfaceslatticesexceptional collections


Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Divisors, linear systems, invertible sheaves (14C20) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)


Cites Work

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  • Blowings-up of \({\mathbb{P}}^ 2\) and their blowings-down
  • Exceptional and rigid sheaves on surfaces with anticanonical class without base components
  • Combinatorial aspects of exceptional sequences on (rational) surfaces
  • On cyclic strong exceptional collections of line bundles on surfaces
  • On rational surfaces, II
  • Exceptional collections in surface-like categories
  • Exceptional sequences of invertible sheaves on rational surfaces
  • On full exceptional collections of line bundles on del Pezzo surfaces
  • A phantom on a rational surface







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