English

Derived McKay correspondence for GL(3,C)

Algebraic Geometry 2016-10-03 v1

Abstract

We prove that the equivariant derived category for a finite subgroup of GL(3,C) has a semi-orthogonal decomposition into the derived category of a certain partial resolution, called a maximal Q-factorial terminalization, of the corresponding quotient singularity and a relative exceptional collection. This is a generalization of a result of Bridgeland, King and Reid.

Keywords

Cite

@article{arxiv.1609.09540,
  title  = {Derived McKay correspondence for GL(3,C)},
  author = {Yujiro Kawamata},
  journal= {arXiv preprint arXiv:1609.09540},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-22T16:06:00.784Z