Schofield Induction for Sheaves on Weighted Projective Lines

Author: Kedzierski Dawid   Meltzer Hagen  

Publisher: Taylor & Francis Ltd

ISSN: 0092-7872

Source: Communications in Algebra, Vol.41, Iss.6, 2013-05, pp. : 2033-2039

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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.