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Lieven LeBruyn. Non-commutative algebraic geometry and commutative desingularizations. Lecture Notes in Pure and Applied Mathematics, 243:203–252, 2006. also available as 'Three talks on noncommutative geometry@n' math.RA/0312221
Notes of three talks given at the workshop 'Hilbert schemes, non-commutative algebra and the McKay correspondence' CIRM-Luminy (France) October 2003. If A is an order over a central normal affine variety X having a stability structure such that the variety of all semi-stable A-representations is a smooth variety, then the corresponding moduli space is a partial desingularization of X and we have a complete classification of the remaining singularities.
@article{LeBruyn2003e,
author={LeBruyn, Lieven},
title={Non-commutative algebraic geometry and commutative desingularizations},
journal={Lecture Notes in Pure and Applied Mathematics},
volume={243},
year={2006},
abstract={Notes of three talks given at the workshop 'Hilbert schemes, non-commutative
algebra and the McKay correspondence' CIRM-Luminy (France) October 2003. If A is an order
over a central normal affine variety X having a stability structure such that the variety
of all semi-stable A-representations is a smooth variety, then the corresponding moduli
space is a partial desingularization of X and we have a complete classification of the
remaining singularities.},
bib2html_dl_html={http://arxiv.org/abs/math.RA/0312221},
bib2html_pubtype ={Papers},
bib2html_rescat ={Noncommutative Geometry},
pages={203--252},
language={English},
seealso={LeBruyn2005a},
note={also available as 'Three talks on noncommutative geometry@n' math.RA/0312221}
}
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