Nash blowups in prime characteristic

• Daniel Duarte ^[2] ; Luis Núñez-Betancourt ^[1]
  1. [1] Mathematics Research Center

     Mathematics Research Center

     México

     
  2. [2] CONACyT-Universidad Autónoma de Zacatecas
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 1, 2022, págs. 257-267
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We initiate the study of Nash blowups in prime characteristic. First, we show that a normal variety is non-singular if and only if its Nash blowup is an isomorphism, extending a theorem by A. Nobile. We also study higher Nash blowups, as defined by T. Yasuda. Specifically, we give a characteristic-free proof of a higher version of Nobile’s theorem for quotient varieties and hypersurfaces. We also prove a weaker version for F-pure varieties.