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Communications in Algebra Volume 41, 2013 - Issue 6
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Original Articles

Schofield Induction for Sheaves on Weighted Projective Lines

Dawid Kedzierski Instytut Matematyki, Uniwersytet Szczeciński, Szczecin, Poland
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Hagen Meltzer Instytut Matematyki, Uniwersytet Szczeciński, Szczecin, PolandCorrespondence[email protected]
Pages 2033-2039 | Received 15 Jul 2010, Published online: 14 May 2013
 
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Abstract

We show that each exceptional vector bundle on a weighted projective line in the sense of Geigle and Lenzing can be obtained by Schofield induction from exceptional sheaves of rank one and zero. This relates to results of Ringel concerning modules over finite dimensional k-algebras over an arbitrary field.

2010 Mathematics Subject Classification:

Notes

Communicated by D. Zacharia.

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