Year: 2026
Type: preprint
Abstract: We classify the representation-finite, tame, and wild contraction algebras arising from 3-fold flopping contractions of isolated cDV singularities with at worst Gorenstein terminal sources. To achieve this, we first determine the representation type of all contracted preprojective algebras of Dynkin types $\mathsf{A}$, $\mathsf{D}$, and $\mathsf{E}$, and then use the representation type invariance under iterated flops and the radical structure of contraction algebras.
Source: arXiv (Cornell University)
Author: Wang, Qi
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G8812420149
OpenAlex ID: W7223947756