Morphisms between Grassmannians, II

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-03-26 DOI:10.1007/s00013-024-01986-y

Gianluca Occhetta, Eugenia Tondelli

引用次数: 0

Abstract

Denote by \({\mathbb {G}}(k,n)\) the Grassmannian of linear subspaces of dimension k in \({\mathbb {P}}^n\). We show that if \(\varphi :{\mathbb {G}}(l,n) \rightarrow {\mathbb {G}}(k,n)\) is a nonconstant morphism and \(l \not =0,n-1\), then \(l=k\) or \(l=n-k-1\) and \(\varphi \) is an isomorphism.

查看原文本刊更多论文

格拉斯曼之间的变形，II

Abstract Denote by \({\mathbb {G}}(k,n)\) the Grassmannian of linear subspaces of dimension k in \({\mathbb {P}}^n\) .我们证明如果 \(\varphi :{\mathbb {G}}(l,n) \rightarrow {\mathbb {G}}(k,n)\) 是一个非恒定变形并且 \(l \not =0,n-1\) ，那么 \(l=k\) 或者 \(l=n-k-1\) 和 \(\varphi\) 是一个同构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.