Tilting bundles for weighted projective lines of weight type $(p,q)$

DOI10.4064/cm7905-9-2019zbMath1453.14055OpenAlexW3036737862MaRDI QIDQ5146406

Xiaofeng Zhang

Publication date: 25 January 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7905-9-2019

zbMATH Keywords

coherent sheafweighted projective linetilting bundleadmissible path

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Special algebraic curves and curves of low genus (14H45) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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• Tilting objects in the stable category of vector bundles on a weighted projective line of type \((2,2,2,2;\lambda )\)
• Tame algebras and integral quadratic forms
• Representation-finite Birkhoff type problems for nilpotent linear operators
• Tilting sheaves for weighted projective lines of weight type \((p)\)
• Hereditary abelian categories with tilting object over arbitrary base fields
• Triangle singularities, ADE-chains, and weighted projective lines
• Tilting bundles and the missing part on a weighted projective line of type \((2, 2, n)\)
• Abelianness of the ``missing part from a sheaf category to a module category
• Hereditary noetherian categories of positive Euler characteristic
• Tame-wild dichotomy of Birkhoff type problems for nilpotent linear operators.
• Nilpotent operators and weighted projective lines
• Quasi-tilted algebras of canonical type
• Tilted Algebras
• Hereditary noetherian categories with a tilting complex
• Exceptional vector bundles, tilting sheaves and tilting complexes for weighted projective lines
• Tilting in abelian categories and quasitilted algebras
• Extremal properties for concealed-canonical algebras
• Separated monic representations II: Frobenius subcategories and RSS equivalences
• Invariant subspaces of nilpotent linear operators, I

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