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.
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页码：1123 / 1127
页数：5
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