McKay Correspondence over Non Algebraically Closed Fields

@article{Blume2014McKayCO,
title={McKay Correspondence over Non Algebraically Closed Fields},
author={Mark Blume},
journal={arXiv: Algebraic Geometry},
year={2014},
pages={47-75}
}
• Mark Blume
• Published 23 January 2006
• Mathematics
• arXiv: Algebraic Geometry
The classical McKay correspondence for finite subgroups G of $$\mathrm{SL}(2, \mathbb{C})$$ gives a bijection between isomorphism classes of nontrivial irreducible representations of G and irreducible components of the exceptional divisor in the minimal resolution of the quotient singularity $$\mathbb{A}_{\mathbb{C}}^{2}/G$$. Over non algebraically closed fields K there may exist representations irreducible over K which split over $$\overline{K}$$. The same is true for irreducible components of…
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