Severi variety

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In algebraic geometry, a Severi variety, named after Francesco Severi, may be:

  • a Brauer–Severi variety
  • A Severi variety, a variety contained in a Hilbert scheme that parametrizes curves in projective space with given degree, arithmetic genus, and number of nodes and no other singularities.
  • a Scorza variety of dimension n in projective space of dimension 3n/2 + 2 that can be isomorphically projected to a hyperplane.