由克雷莫纳变换引起的新的有理三次四重变换

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry 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

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.