Building blocks of étale endomorphisms of complex projective manifolds

Building blocks of étale endomorphisms of complex projective manifolds
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DOI:
10.1112/plms/pdp015
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发表时间:
2009-03
影响因子:
1.8
通讯作者:
N. Nakayama;De-Qi Zhang
N. Nakayama;De-Qi Zhang
中科院分区:
数学1区
文献类型:
--
作者:
N. Nakayama;De-Qi Zhang

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复射影流形的Étale自同态是由两个构造块直到同构构造的,如果好的极小模型猜想成立。它们分别是阿贝尔簇的自同态和弱Calabi-Yau簇的近似有理自同态。
Étale endomorphisms of complex projective manifolds are constructed from two building blocks up to isomorphism if the good minimal model conjecture is true. They are the endomorphisms of abelian varieties and the nearly étale rational endomorphisms of weak Calabi–Yau varieties.