关于四次曲线和三次曲面的Hessian映射的对偶性

IF 0.6 4区数学 Q3 MATHEMATICS

Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-11-01 DOI:10.4171/rlm/991

A. Dimca, Gabriel Sticlaru

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引用次数: 2

摘要

我们证明了四次平面曲线的hessian映射在其图像上是一个双态态射，从而为Ciro Ciliberto和Giorgio Ottaviani的一个非常有趣的猜想提供了新的证据。我们的新方法还为三次曲面的相似性质提供了一个更简单的证明，这两位作者的工作已经知道了。

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On the birationality of the Hessian maps of quartic curves and cubic surfaces

We show that the hessian map of quartic plane curves is a birational morphism onto its image, thus bringing new evidence for a very interesting conjecture of Ciro Ciliberto and Giorgio Ottaviani. Our new approach also yields a simpler proof of the similar property for cubic surfaces, which is already known by the work of these two authors.

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来源期刊

Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.