On tubular tilting objects in the stable category of vector bundles

DOI10.1007/s10114-018-8187-2zbMath1471.14039arXiv1804.06980OpenAlexW2963047358MaRDI QIDQ1734951

Ya Nan Lin, Shi Quan Ruan, Jian Min Chen

Publication date: 27 March 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.06980

zbMATH Keywords

weighted projective lines,representation theory, finite dimensional algebras, automorphic forms, coherent sheaves, tilting objects

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (1)

Recursion formulas on Hall numbers for weighted projective lines

Cites Work

• Tilting objects in the stable category of vector bundles on a weighted projective line of type \((2,2,2,2;\lambda )\)
• Triangle singularities, ADE-chains, and weighted projective lines
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Tilting theory and cluster combinatorics.
• On triangulated orbit categories
• Cluster algebras I: Foundations
• Cluster structures for 2-Calabi–Yau categories and unipotent groups
• Acyclic Calabi–Yau categories
• The cluster category of a canonical algebra
• Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
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