由克雷莫纳变换引起的新的有理三次四重变换

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-02-29 DOI:10.14231/ag-2023-014

Yu-Wei Fan, Kuan-Wen Lai

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引用次数: 3

摘要

傅里叶-Mukai等效三次四倍等效吗?对于判别式20的非常一般的三次四重，我们得到了这个问题的肯定答案，其中我们通过由Veronese曲面定义的Cremona变换产生了两国映射。此外，通过研究这些地图如何作用于已知的有理立方，我们发现了新的有理例子。

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New rational cubic fourfolds arising from Cremona transformations

Are Fourier--Mukai equivalent cubic fourfolds birationally equivalent? We obtain an affirmative answer to this question for very general cubic fourfolds of discriminant 20, where we produce birational maps via the Cremona transformation defined by the Veronese surface. Moreover, by studying how these maps act on the cubics known to be rational, we found new rational examples.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.