Special vs Essential
Algebraic Geometry
2026-04-15 v2
Abstract
We show a correspondence between the compact exceptional curves and divisors on and some non-trivial irreducible representations of which are special (or essential). Moreover, we provide an explicit construction of the small resolution of and, using this resolution, we construct a correspondence between special and essential representations. These results are an extension of ``Special McKay correspondence'' and ``Reid's recipe''.
Cite
@article{arxiv.2601.05634,
title = {Special vs Essential},
author = {Yukari Ito and Kohei Sato and Yusuke Sato},
journal= {arXiv preprint arXiv:2601.05634},
year = {2026}
}