Twisted cubic curves in the Segre variety

被引：1

作者：

Chung, Kiryong ^{[1
]}

Lee, Wanseok ^{[2
]}

机构：

[1] Kyungpook Natl Univ, Dept Math Educ, Daegu 41566, South Korea

[2] Pukyong Natl Univ, Dept Appl Math, Busan 608737, South Korea

来源：

COMPTES RENDUS MATHEMATIQUE | 2015年 / 353卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

Rational curves; Stable maps; Stable sheaves;

D O I：

10.1016/j.crma.2015.09.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X = P-1 x P-1 x P-1 be the Segre variety. Let S be the space of twisted cubic curves in X with tri-degree (1,1,1). In this note, we prove that S is a rational, smooth variety of dimension 6. Also, we compute the Poincare polynomial of S by stratifying the space into projective space fibration over some base spaces. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：1123 / 1127

页数：5

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