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

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Duration: 3 min 30 s
Description: 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.
Taku Suzuki
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