Deformations of pairs of Kleinian singularities
Representation Theory
2021-05-27 v3
Abstract
Kleinian singularities, i.e., the varieties corresponding to the algebras of invariants of Kleinian groups are of fundamental importance for Algebraic geometry, Representation theory and Singularity theory. The filtered deformations of these algebras of invariants were classified by Slodowy (the commutative case) and Losev (the general case). To an inclusion of Kleinian groups, there is the corresponding inclusion of algebras of invariants. We classify deformations of these inclusions when a smaller subgroup is normal in the larger.
Keywords
Cite
@article{arxiv.1805.08197,
title = {Deformations of pairs of Kleinian singularities},
author = {Daniil Klyuev},
journal= {arXiv preprint arXiv:1805.08197},
year = {2021}
}
Comments
v2: improved exposition; added examples of universal commutative deformations after section 8, v3: improved exposition