Numerical characterisation of quadrics
Hoering, Andreas, Thomas Dedieu
Abstract
Hoering, Andreas, Thomas Dedieu
Abstract
Let X be a Fano manifold such that -K X • C dim X for every rational curve C ⊂ X.We prove that X is a projective space or a quadric.
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Let X be a Fano manifold such that -K X • C dim X for every rational curve C ⊂ X.We prove that X is a projective space or a quadric.
Key concepts: Quadric, Fano plane, Projective space, Manifold (fluid mechanics), Mathematics, Twisted cubic, Space (punctuation), Pure mathematics