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

共 18 条

[11] GORENSTEIN LOG DELPEZZO SURFACES OF RANK ONE [J].

MIYANISHI, M ;

ZHANG, DQ .

JOURNAL OF ALGEBRA, 1988, 118 (01) :63-84

[12]

Nakayama N., 2008, PREPRINT

[13] Polarized endomorphisms of complex normal varieties [J].

Nakayama, Noboru ;

Zhang, De-Qi .

MATHEMATISCHE ANNALEN, 2010, 346 (04) :991-1018

[14]

YE Q, 2002, JAPAN J MATH, V28, P87

[15] Polarized endomorphisms of uniruled varieties [J].

Zhang, De-Qi ;

Fujimoto, Y. ;

Nakayama, N. .

COMPOSITIO MATHEMATICA, 2010, 146 (01) :145-168

[16]

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[17]

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[18]

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