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.
Funding Statement
The author is supported by Grant-in-Aid for Research Activity Start-up from the Japan Society for the Promotion of Science.
Citation
Taku SUZUKI. "Higher order minimal families of rational curves and Fano manifolds with nef Chern characters." J. Math. Soc. Japan 73 (3) 949 - 964, July, 2021. https://doi.org/10.2969/jmsj/84428442
Information
