Stably irrational hypersurfaces of small slopes

IF 3.5 1区数学 Q1 MATHEMATICS Journal of the American Mathematical Society Pub Date : 2018-01-16 DOI:10.1090/jams/928

Stefan Schreieder

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引用次数: 59

Abstract

Let k k be an uncountable field of characteristic different from two. We show that a very general hypersurface X ⊂ P k N + 1 X\subset \mathbb {P}^{N+1}_k of dimension N ≥ 3 N\geq 3 and degree at least log 2 ⁡ N + 2 \log _2N +2 is not stably rational over the algebraic closure of k k .

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小斜率的稳定无理超曲面

设k k是一个不可数的具有不同于二的特征的域。我们证明了一个非常一般的超曲面X⊂P k N+1 X\subet \mathbb｛P｝^｛N+1｝_k的维数N≥3N\geq3且度至少为log2⁡ N+2\log_2N+2在k k的代数闭包上是不稳定有理的。

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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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