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
收藏
页码：1123 / 1127
页数：5
相关论文
共 50 条
  • [21] Set-theoretic defining equations of the tangential variety of the Segre variety
    Oeding, Luke
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (06) : 1516 - 1527
  • [22] TERRACINI LOCUS FOR THREE POINTS ON A SEGRE VARIETY
    Ballico, Edoardo
    Bernardi, Alessandra
    Santarsiero, Pierpaola
    ASIAN JOURNAL OF MATHEMATICS, 2023, 27 (03) : 375 - 404
  • [23] The Twisted Transfer Variety
    CHEN YANG
    NAN JI-ZHU
    Du Xian-kun
    Communications in Mathematical Research, 2018, 34 (04) : 335 - 342
  • [24] Equivariant geometry of the Segre cubic and the Burkhardt quartic
    Cheltsov, Ivan
    Tschinkel, Yuri
    Zhang, Zhijia
    SELECTA MATHEMATICA-NEW SERIES, 2025, 31 (01):
  • [25] A four-dimensional cousin of the Segre cubic
    Manivel, Laurent
    REVISTA MATEMATICA IBEROAMERICANA, 2024, 40 (03) : 1089 - 1114
  • [26] General pure multipartite entangled states and the Segre variety
    Heydari, Hoshang
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (31): : 9839 - 9844
  • [27] PROJECTIONS OF THE TWISTED CUBIC
    Meyer, Joerg
    TEACHING OF MATHEMATICS, 2007, 10 (01): : 51 - 62
  • [28] Rational normal curves contained in Segre varieties
    Ballico, Edoardo
    BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2024,
  • [29] CUBIC FORMULA AND CUBIC CURVES
    Woo, Sung Sik
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (02): : 209 - 224
  • [30] CLOSED TWISTED CURVES
    VRANCEAN.G
    ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1973, 53 (1-2): : 82 - 86
12345