Tilting bundles and the "missing part" on the weighted projective line of type (2, 2, n)

2013/04/18 by Jianmin Chen, Chen, Jianmin, Yanan Lin +3 · 1 citation
Mathematics · #14F05 #16G70 #18A32 #18E10 #18E30 #18E40 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:14F05 #msc:16G70 #msc:18A32 #msc:18E10 #msc:18E30 #msc:18E40

paper · pdf · doi:10.48550/arxiv.1304.5108

18 pages

arxiv created 2013/04/18 · arxiv updated 2013/04/19

Abstract

This paper classifies all the tilting bundles in the category of coherent sheaves on the weighted projective line of weight type (2, 2, n), and investigates the abelianness of the "missing part" from the category of coherent sheaves to the category of finitely generated right modules on the associated tilted algebra for each tilting bundle.

Cited by

• ACM tilting bundles on a Geigle-Lenzing projective plane of type (2,2,2,p)

Related

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• Tilting objects in the stable category of vector bundles on the weighted projective line of type (2,2,2,2;λ)
• Introduction to coherent sheaves on weighted projective lines
• Tilting objects on tubular weighted projective lines: a cluster tilting approach
• Mutation of tilting bundles of tubular type