Wonderful blowups associated to group actions

• L.A. Borisov ^[1] ; P.E. Gunnells ^[2]
  1. [1] Columbia University

     Columbia University

     Estados Unidos

     
  2. [2] Department of Mathematics and Statistics, University of Massachusetts, USA
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 8, Nº. 3, 2002, págs. 373-379
• Idioma: inglés
• DOI: 10.1007/s00029-002-8110-6
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• Resumen

  • A group action on a smooth variety provides it with the natural stratification by irreducible components of the fixed point sets of arbitrary subgroups. We show that the corresponding maximal wonderful blowup in the sense of MacPherson-Procesi has only abelian stabilizers. The result is inspired by the abelianization algorithm of Batyrev.