Fano manifolds obtained by blowing up along curves with maximal Picard number

  • Toru Tsukioka
  • Published 2009

Abstract

The Picard number of a Fano manifold X obtained by blowing up a curve in a smooth projective variety is known to be at most 5, in any dimension greater than or equal to 4. We show that the Picard number attains to the maximal if and only if X is the blow-up of the projective space whose center consists of two points, the strict transform of the line joining… (More)

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