Decomposition Problem on Endomorphisms of Projective Varieties

Yoshio Fujimoto

doi:10.2977/prims/1145475809

JournalsprimsVol. 40, No. 2pp. 429–440

Decomposition Problem on Endomorphisms of Projective Varieties

Yoshio Fujimoto
Gifu University, Japan

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Abstract

Let $Z := X \times Y$ be a product variety of nonsingular projective varieties $X$ and $Y$ . Suppose that $K_{Y}$ is not nef but $K_{X}$ is nef. The aim of this note is to study decomposition problems on an endomorphism $f : Z \to Z$ of $Z$ .

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Yoshio Fujimoto, Decomposition Problem on Endomorphisms of Projective Varieties. Publ. Res. Inst. Math. Sci. 40 (2004), no. 2, pp. 429–440

DOI 10.2977/PRIMS/1145475809