Secant varieties of Grassmann varieties

被引:36
作者
Catalisano, MV [1 ]
Geramita, AV
Gimigliano, A
机构
[1] Univ Genoa, Fac Ingn, DIPEM, Genoa, Italy
[2] Univ Genoa, Dipartimento Matemat, Genoa, Italy
[3] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada
[4] Univ Bologna, Dipartimento Matemat, I-40126 Bologna, Italy
[5] Univ Bologna, CIRAM, I-40126 Bologna, Italy
关键词
D O I
10.1090/S0002-9939-04-07632-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the dimensions of the higher secant varieties of the Grassmann varieties. We give new instances where these secant varieties have the expected dimension and also a new example where a higher secant variety does not.
引用
收藏
页码:633 / 642
页数:10
相关论文
共 12 条
[1]  
Alexander J., 1995, J ALGEBRAIC GEOM, V4, P201
[2]  
BURGLSSER P, 1997, GRUND MATH WISS
[3]   Ranks of tensors, secant varieties of Segre varieties and fat points (vol 355, pg 263, 2002) [J].
Catalisano, MV ;
Geramita, AV ;
Gimigliano, A .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 367 :347-348
[4]   Ranks of tensors, secant varieties of Segre varieties and fat points [J].
Catalisano, MV ;
Geramita, AV ;
Gimigliano, A .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 355 :263-285
[5]   On apolarity and generic canonical forms [J].
Ehrenborg, R .
JOURNAL OF ALGEBRA, 1999, 213 (01) :167-194
[6]  
GRAYSON DR, MACULAY 2 SOFTWARE
[7]  
HARRIS J, 1993, ALGEBRAIC GEOMETRY 1
[8]  
Nogin D. Yu., 1997, Problems of Information Transmission, V33, P114
[9]  
Palatini F., 1909, ATTI ACCAD TORINO, V44, P362
[10]  
TERRACINI A., 1911, REND CIRC MAT PALERM, V31, P392