Lieven Le Bruyn's Publications

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Non-commutative algebraic geometry and commutative desingularizations

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

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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.

BibTeX

@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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