2021/04/08 by Dawid Edmund Kędzierski, Kędzierski, Dawid, Hagen Meltzer +1
Mathematics · Medicine · #16G20 14A22 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Intracerebral and Subarachnoid Hemorrhage Research #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2104.04094
openalex publication_date 2021/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we study modules over wild canonical algebras which correspond to extension bundles [9] 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.