pith. machine review for the scientific record. sign in

arxiv: 2512.19140 · v2 · submitted 2025-12-22 · 🧮 math.AG

Recognition: unknown

Quiver braid group action for a 3-fold crepant resolution

Will Donovan , Luyu Zheng
Authors on Pith no claims yet
classification 🧮 math.AG
keywords quiveractionbraidcrepantfoldgroupresolutionadmits
0
0 comments X
read the original abstract

The 3-fold cyclic quotient singularity denoted $\tfrac{1}{7}(1,2,4)$ admits a crepant resolution X with three exceptional Hirzebruch surfaces intersecting pairwise along curves. We show that the derived category D(X) carries a faithful action of a quiver braid group, where the relevant quiver is a 3-cycle encoding the intersection data.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Some faithful algebraic braid twist group actions for 3-fold crepant resolutions

    math.AG 2026-03 unverdicted novelty 7.0

    For crepant resolutions X(1,3,9) and X(1,3,13) the derived categories admit faithful braid twist group actions of types D and E induced by spherical object configurations.