Weighted projective lines of tubular type and equivariantization

TL;DR

This paper establishes explicit relationships between categories of coherent sheaves on weighted projective lines of tubular type through equivariantization under cyclic group actions, revealing new structural connections.

Contribution

It introduces a method to relate categories of coherent sheaves on tubular weighted projective lines via equivariantization, providing new insights into their structure.

Findings

Categories are explicitly related through cyclic group equivariantization

New structural connections between weighted projective lines of tubular type

Framework for analyzing coherent sheaves via group actions

Abstract

We prove that the categories of coherent sheaves over weighted projective lines of tubular type are explicitly related to each other via the equivariantization with respect to certain cyclic group actions.