Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali (Oct 2023)

First steps with Bott formula

  • Mustapha Lahyane,
  • Israel Moreno-Mejía,
  • Dan Silva-López

DOI
https://doi.org/10.1478/AAPP.1012LC1
Journal volume & issue
Vol. 101, no. 2
p. LC1

Abstract

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We use Bott's residue formula to infer that a general cubic surface in the projective space P^3_C contains exactly twenty seven lines and that a general complete intersection of two quadrics in P^4_C contains exactly sixteen lines.