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arXiv · 1606.09350

Higher order minimal families of rational curves and Fano manifolds with nef Chern characters

Taku Suzuki
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Abstract

In this paper, we investigate higher order minimal families $H_i$ of rational curves associated to Fano manifolds $X$. We prove that $H_i$ is also a Fano manifold if the Chern characters of $X$ satisfy some positivity conditions. We also provide a sufficient condition for Fano manifolds to be covered by higher rational manifolds.

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Taku Suzuki. 2016-06-30. Higher order minimal families of rational curves and Fano manifolds with nef Chern characters. https://arxiv.org/abs/1606.09350

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