T-structures on a local 4-Calabi-Yau variety

DOI10.1007/s00209-024-03553-1MaRDI QIDQ6582340

Yirui Xiong

Publication date: 2 August 2024

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

zbMATH Keywords

tilting theoryCalabi-Yau categoriest-structures

Mathematics Subject Classification ID

Surfaces and higher-dimensional varieties (14Jxx) Categorical algebra (18Exx) (Co)homology theory in algebraic geometry (14Fxx)

Cites Work

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• Tilting bundles on rational surfaces and quasi-hereditary algebras
• The space of stability conditions on the local projective plane
• Coloured quiver mutation for higher cluster categories.
• Stability conditions on a non-compact Calabi-Yau threefold
• Exchange graphs and Ext quivers
• Helices on del Pezzo surfaces and tilting Calabi-Yau algebras
• Tilting generators via ample line bundles
• Vector bundles on complex projective spaces
• \(D\)-equivalence and \(K\)-equivalence
• Quadratic differentials as stability conditions
• \(t\)-structures on some local Calabi--Yau varieties
• Stability conditions on triangulated categories
• Ample vector bundles
• REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
• Morita Theory for Derived Categories
• THE MARKOV NUMBERS AND EXCEPTIONAL BUNDLES ON P²
• Equivalences of Triangulated Categories and Fourier-Mukai Transforms
• Deriving DG categories
• HOMOLOGICAL PROPERTIES OF ASSOCIATIVE ALGEBRAS: THE METHOD OF HELICES
• Mukai flops and derived categories
• EXCEPTIONAL SHEAVES ON DEL PEZZO SURFACES
• Tilting in abelian categories and quasitilted algebras

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