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arxiv: 1507.08489 · v2 · pith:WVVGNE5Knew · submitted 2015-07-30 · 🧮 math.AG

Numerical characterisation of quadrics

classification 🧮 math.AG
keywords anticanonicalcharacterisationcurvedegreedimensioneveryfanoleast
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Let X be a Fano manifold such that every rational curve in X has anticanonical degree at least the dimension of X. We prove that X is a projective space or a quadric.

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