Invariant hypersurfaces of endomorphisms of the projective 3-space

被引：0

作者：

Zhang, De-Qi ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

来源：

AFFINE ALGEBRAIC GEOMETRY | 2013年

关键词：

Endomorphism; iteration; projective; 3-space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider surjective endomorphisms f of degree >1 on the projective n-space P-n with n = 3, and f(-1)-stable hypersurfaces V. We show that V is a hyperplane (i.e., deg(V) = 1) but with four possible exceptions; it is conjectured that deg(V) = 1 for any n >= 2; cf. [7], [3].

引用

页码：314 / 330

页数：17

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