ENDOMORPHISMS OF PROJECTIVE BUNDLES OVER A CERTAIN CLASS OF VARIETIES

被引：1

作者：

Amerik, Ekaterina ^{[1
]}

Kuznetsova, Alexandra ^{[1
]}

机构：

[1] Natl Res Univ Higher Sch Econ, Lab Algebra Geometry & Applicat, 6 Usacheva Str, Moscow, Russia

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 05期

关键词：

eudomophisms; projective bundles; Newton polyhedra;

D O I：

10.4134/BKMS.b160741

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B be a simply-connected projective Variety such that the first cohomology groups of all line bundles on B are zero. Let E be a vector bundle over B and X = P(E). It is easily seen that a power of any ondomol-phism of X takes fibers to fibers. We prove that if X admits an endortiorphistri which is of degree greater than one on the, tlren E splits into a direct sum of line bundles.

引用

页码：1743 / 1755

页数：13

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