科研之友
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摘要
Under the framework of dynamics on normal projective varieties by Kawamata, Nakayama and Zhang, and Hu and Li, we may reduce Kawaguchi-Silverman conjecture for automorphisms f on normal projective threefolds X with either the canonical divisor KX is trivial or negative Kodaira dimension to the following two cases: (i) f is a primitively automorphism of a weak Calabi-Yau threefold, (ii) X is a rationally connected threefold. And we prove Kawaguchi-Silverman conjecture is true for automorphisms of normal projective varieties X with the irregularity q(X) >= dimX - 1. Finally, we discuss Kawaguchi-Silverman conjecture on normal projective varieties with Picard number two.
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单位华东理工大学
