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Higher Fano manifolds and rational surfaces

A. J. de Jong·Jason Michael Starr
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Abstract

For a Fano manifold of pseudo-index at least 3 and $c_1^2-2c_2$ nef, we show irreducibility of certain spaces of curves on the Fano manifold implies the manifold is a union of rational surfaces.

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A. J. de Jong, Jason Michael Starr. 2006-02-28. Higher Fano manifolds and rational surfaces. https://arxiv.org/abs/math/0602647

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