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Schofield Induction for Sheaves on Weighted Projective Lines |
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| Authors: | Dawid Kedzierski |
| Institution: | Instytut Matematyki , Uniwersytet Szczeciński , Szczecin , Poland |
| 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. |
| Keywords: | Bongartz complement Exceptional sheaf Exceptional vector bundle Generalized Kronecker algebra Schofield induction Tilting bundle Tilting sheaf Weighted projective line |