Plain varieties

被引：9

作者：

Bodnar, Gabor ^{[1
]}

Hauser, Herwig ^{[2
]}

Schicho, Josef ^{[3
]}

Villamayor U., Orlando ^{[4
]}

机构：

[1] RISC Software GesmbH, IT Ctr, A-4232 Hagenberg, Austria

[2] Univ Vienna, Fak Math, A-1090 Vienna, Austria

[3] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math RICAM, A-4040 Linz, Austria

[4] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2008年 / 40卷

基金：

奥地利科学基金会;

关键词：

D O I：

10.1112/blms/bdn078

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Algebraic varieties that are locally isomorphic to open subsets of affine space will be called plain. Plain varieties are smooth and rational. The converse is true for curves and surfaces, and is unknown in general. It is shown that plain varieties are stable under blowup in smooth centers.

引用

页码：965 / 971

页数：7

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