热带退化与稳定合理性

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2019-11-14 DOI:10.1215/00127094-2022-0065

J. Nicaise, J. C. Ottem

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引用次数: 17

摘要

我们利用Shinder和第一位作者提出的对稳定理性的动力阻碍，建立了几类新的稳定非理性超曲面和完全交。特别地，我们证明了$\mathbb P^6$中非常一般的四次五重和二次曲面和三次曲面的完全交集是稳定非理性的。一个重要的新成分是使用热带退化技术。

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Tropical degenerations and stable rationality

We use the motivic obstruction to stable rationality introduced by Shinder and the first-named author to establish several new classes of stably irrational hypersurfaces and complete intersections. In particular, we show that very general quartic fivefolds and complete intersections of a quadric and a cubic in $\mathbb P^6$ are stably irrational. An important new ingredient is the use of tropical degeneration techniques.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464