Birational superrigidity is not a locally closed property

• Ziquan Zhuang ^[1]
  1. [1] Princeton University

     Princeton University

     Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 26, Nº. 1, 2020
• Idioma: inglés
• DOI: 10.1007/s00029-020-0536-1
• Enlaces
  • Texto completo
• Resumen

  • We prove an optimal result on the birational rigidity and K-stability of index 1 hypersurfaces in Pn+1 with ordinary singularities when n≫0 and also study the birational superrigidity and K-stability of certain weighted complete intersections. As an application, we show that birational superrigidity is not a locally closed property in moduli. We also prove (in the Appendix) that the alpha invariant function is constructible in some families of complete intersections.