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May 2019 Termination of extremal rays of divisorial type for the power of étale endomorphisms
Yoshio Fujimoto
Proc. Japan Acad. Ser. A Math. Sci. 95(5): 47-51 (May 2019). DOI: 10.3792/pjaa.95.47

Abstract

Let $f\colon X\to X$ be a non-isomorphic étale endomorphism of a smooth projective variety $X$. Suppose that there exists a $K_{X}$-negative extremal ray $R'\subset \overline{\mathrm{NE}}(X)$ of fiber type. Then we give a sufficient condition for a $K_{X}$-negative extremal ray $R\subset \overline{\mathrm{NE}}(X)$ of divisorial type to terminate under a suitable power $f^{k}$ of $k > 0$.

Citation

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Yoshio Fujimoto. "Termination of extremal rays of divisorial type for the power of étale endomorphisms." Proc. Japan Acad. Ser. A Math. Sci. 95 (5) 47 - 51, May 2019. https://doi.org/10.3792/pjaa.95.47

Information

Published: May 2019
First available in Project Euclid: 24 April 2019

zbMATH: 07137911
MathSciNet: MR3942172
Digital Object Identifier: 10.3792/pjaa.95.47

Subjects:
Primary: 14J15, 14J25, 14J30, 14J60
Secondary: 32J17

Rights: Copyright © 2019 The Japan Academy

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Vol.95 • No. 5 • May 2019
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