论文标题

投影平面上的内态性之间的异态共轭

Birational conjugacies between endomorphisms on the projective plane

论文作者

Cantat, Serge, Xie, Junyi

论文摘要

我们证明,在特征0中,如果某种偶然的转化是构想的,那么射影平面的两个主导性内态,那么它们是由自动形态轭的。我们还为积极特征提供反例。

We proved that, in characteristic 0, if two dominant endomorphisms of the projective plane of degree at least 2 are conjugate by some birational transformation, then they are conjugate by an automorphism. We also gave counterexamples in positive characteristic.

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