X-ranks for embedded varieties and extensions of fields

IF 0.4 4区数学 Q4 MATHEMATICS

Contributions To Discrete Mathematics Pub Date : 2022-06-18 DOI:10.47443/cm.2022.021

E. Ballico

引用次数: 0

Abstract

Let X ⊂ P r be a projective embedded variety deﬁned over a ﬁeld K . Results relating maximum and generic X -rank of points of P r ( K ) and P r ( L ) are given, where L is a ﬁeld containing K . Some of these results are algebraically closed for K and L . In other results (e.g. on the cactus rank), L is a ﬁnite extension of K .

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x级用于嵌入的品种和域的扩展

设X∧P r是定义在域K上的一个射影内嵌变量。给出了P r (K)和P r (L)的点的极大值和一般X -秩的结果，其中L是包含K的域。其中一些结果对K和L在代数上是封闭的。在其他结果中(例如仙人掌的排名)，L是K的有限扩展。

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

Contributions To Discrete Mathematics MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.