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.
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页码：1743 / 1755
页数：13
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