A note on Kawaguchi–Silverman conjecture
Keyword(s):
We collect some results on endomorphisms on projective varieties related to the Kawaguchi–Silverman conjecture. We discuss certain conditions on automorphism groups of projective varieties and positivity conditions on leading real eigendivisors of self-morphisms. We prove Kawaguchi–Silverman conjecture for endomorphisms on projective bundles on a smooth Fano variety of Picard number one. In the last section, we discuss endomorphisms and augmented base loci of their eigendivisors.
2020 ◽
Vol 69
(7)
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pp. 2493-2504
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2000 ◽
Vol 157
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pp. 129-147
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2018 ◽
Vol 2020
(7)
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pp. 1942-1956
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2014 ◽
Vol 23
(4)
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pp. 775-795
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2018 ◽
Vol 20
(03)
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pp. 1750024
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2015 ◽
Vol 159
(3)
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pp. 517-527
2019 ◽
Vol 377
(3-4)
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pp. 1573-1602
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