Birational geometry for the covering of a nilpotent orbit closure

• Yoshinori Namikawa ^[1]
  1. [1] Kyoto University

     Kyoto University

     Kamigyō-ku, Japón

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 4, 2022
• Idioma: inglés
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• Resumen

  • Let g be a complex classical simple Lie algebra and let O be a nilpotent orbit of g.

    The fundamental group π1(O) is finite. Take the universal covering π0 : X0 → O.

    Then π0 extends to a finite cover π : X → O¯. By using the Kirillov–Kostant form ωK K on O, the normal affine variety X becomes a conical symplectic variety. In this article we give an explicit construction of a Q-factorial terminalization of X.