On the Hadamard product of degenerate subvarieties

IF 0.5 4区数学 Q3 MATHEMATICS

Portugaliae Mathematica Pub Date : 2018-04-04 DOI:10.4171/pm/2029

G. Calussi, E. Carlini, G. Fatabbi, A. Lorenzini

引用次数: 9

Abstract

We consider generic degenerate subvarieties $X_i\subset\mathbb{P}^n$. We determine an integer $N$, depending on the varieties, and for $n\geq N$ we compute dimension and degree formulas for the Hadamard product of the varieties $X_i$. Moreover, if the varieties $X_i$ are smooth, their Hadamard product is smooth too. For $n

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关于退化亚变种的Hadamard积

我们考虑一般退化子变种$X_i\subet\mathbb｛P｝^n$。我们根据变量确定一个整数$N$，对于$N\geqN$，我们计算变量$X_i$的Hadamard乘积的维数和度数公式。此外，如果品种$X_i$是光滑的，那么它们的Hadamard乘积也是光滑的。对于$n

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Portugaliae Mathematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Since its foundation in 1937, Portugaliae Mathematica has aimed at publishing high-level research articles in all branches of mathematics. With great efforts by its founders, the journal was able to publish articles by some of the best mathematicians of the time. In 2001 a New Series of Portugaliae Mathematica was started, reaffirming the purpose of maintaining a high-level research journal in mathematics with a wide range scope.

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