仿射空间到Zariski开子集的满射态射

IF 0.6 4区数学 Q3 MATHEMATICS

International Journal of Mathematics Pub Date : 2023-02-22 DOI:10.1142/S0129167X23500751

Viktor Balch Barth

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引用次数: 2

摘要

我们构造性地证明了从仿射空间到同维仿射空间的某些开子群上的满射态射的存在性。对于任何代数集[Former:see-text]，我们构造了[Former:see-text]的自同态，其图像为[Former:see-text]。通过Noether的规范化引理，这些结果扩展到给出从任何[公式：见文本]-维仿射变化[公式：见图文本]到[公式：看文本]的满射映射。

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Surjective morphisms from affine space to its Zariski open subsets

We prove constructively the existence of surjective morphisms from affine space onto certain open subvarieties of affine space of the same dimension. For any algebraic set [Formula: see text], we construct an endomorphism of [Formula: see text] with [Formula: see text] as its image. By Noether’s normalization lemma, these results extend to give surjective maps from any [Formula: see text]-dimensional affine variety [Formula: see text] to [Formula: see text].

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来源期刊

International Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The International Journal of Mathematics publishes original papers in mathematics in general, but giving a preference to those in the areas of mathematics represented by the editorial board. The journal has been published monthly except in June and December to bring out new results without delay. Occasionally, expository papers of exceptional value may also be published. The first issue appeared in March 1990.