Vector bundles over projective spaces. The case F1

被引：0

作者：

von Bothmer, H. -C. Graf ^{[1
]}

Hinsch, L. ^{[2
]}

Stuhler, U. ^{[1
]}

机构：

[1] Univ Gottingen, Math Inst, D-37073 Gottingen, Germany

[2] Freien Univ, Fachbereich Math, D-14195 Berlin, Germany

来源：

ARCHIV DER MATHEMATIK | 2011年 / 96卷 / 03期

关键词：

Fields with one element; Vector bundles; Projective spaces;

D O I：

10.1007/s00013-011-0225-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Over the field of one element, vector bundles over n-dimensional projective spaces are considered. It is shown that all line bundles are tensor powers of the Hopf bundle and all vector bundles are direct sums of line bundles. This is in complete analogy to the case of the projective line over an arbitrary classical field, but drastically simpler in comparison with projective spaces of higher dimensions.

引用

页码：227 / 234

页数：8

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