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July, 2021 Higher order minimal families of rational curves and Fano manifolds with nef Chern characters
Taku SUZUKI
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J. Math. Soc. Japan 73(3): 949-964 (July, 2021). DOI: 10.2969/jmsj/84428442

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

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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

Received: 11 March 2020; Published: July, 2021
First available in Project Euclid: 16 November 2020

Digital Object Identifier: 10.2969/jmsj/84428442

Subjects:
Primary: 14J45
Secondary: 14C17, 14M20

Rights: Copyright ©2021 Mathematical Society of Japan

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Vol.73 • No. 3 • July, 2021
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