Higher Fano manifolds and rational surfaces

Details Higher Fano manifolds and rational surfaces Higher Fano manifolds and rational surfaces

2006-02-28

arxiv.org/abs/math/0602647v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

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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