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Numerical characterisation of quadrics

Hoering, Andreas, Thomas Dedieu

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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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What this paper is about

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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OpenAlex reports 20 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Quadric, Fano plane, Projective space, Manifold (fluid mechanics), Mathematics, Twisted cubic, Space (punctuation), Pure mathematics

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