# Modules attached to extension bundles

Source: [Modules attached to extension bundles](<https://www.sota2.com/research/paper/68fa57fa1e209131ce9aa4a8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T15:03:40.352Z

Authors: Dawid K\\k{e}dzierski, Hagen Meltzer

Published: 2021-04-08T21:44:23.000Z

## Abstract

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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2104.04094>)

[PDF](<https://arxiv.org/pdf/2104.04094.pdf>)