Modules attached to extension bundles

Modules attached to extension bundles

In this article, we study modules over wild canonical algebras which correspond to extension bundles (Kussin et al. Adv Math 237:194–251, 2013) over weighted projective lines. We prove that all modules attached to extension bundles can be established by matrices with coefficients related to the rela...

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Bibliographic Details
Main Authors: Kędzierski, D.E (Author), Meltzer, H. (Author)
Format: Article
Language:English
Published: Birkhauser 2022
Subjects:
Canonical algebra
Exceptional module
Exceptional pair
Extension bundles
Frobenius category
Projective cover
Weighted projective line
Wild type
Zero-one matrix problem
Online Access:View Fulltext in Publisher
Description
Summary:In this article, we study modules over wild canonical algebras which correspond to extension bundles (Kussin et al. Adv Math 237:194–251, 2013) over weighted projective lines. We prove that all modules attached to extension bundles can be established by matrices with coefficients related to the relations of the considered algebra. Moreover, we expand the concept of extension bundles over weighted projective lines with three weights to general weight type and establish similar results in this situation. Finally, we present a method to compute matrices for all modules attached to extension bundles using cokernels of maps between direct sums of line bundles. © 2022, Sociedad Matemática Mexicana.
ISBN:1405213X (ISSN)
DOI:10.1007/s40590-022-00418-7

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