Torsion pairs and filtrations in abelian categories with tilting objects

DOI10.1142/S0219498815501212zbMath1330.18017arXiv1302.2991MaRDI QIDQ5255743

Jason Lo

Publication date: 19 June 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2991

zbMATH Keywords

tilting objectFourier-Mukai transformderived equivalencetorsion pair

Mathematics Subject Classification ID

Related Items (1)

Tilting Modules and Tilting Torsion Pairs

Cites Work

• A functorial construction of moduli of sheaves
• Moduli of Bridgeland semistable objects on \(\mathbb{P}^2\)
• On the invariant theory for tame tilted algebras.
• Stability conditions, torsion theories and tilting
• Fourier-Mukai transforms for K3 and elliptic fibrations
• Fourier-Mukai transforms for elliptic surfaces
• TILTING MODULES OF FINITE PROJECTIVE DIMENSION: SEQUENTIALLY STATIC AND COSTATIC MODULES
• Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles
• FILTRATIONS IN ABELIAN CATEGORIES WITH A TILTING OBJECT OF HOMOLOGICAL DIMENSION TWO
• Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities

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