The polynomial degree of the Grassmannian G1,n,2

被引：0

作者：

Shaw, R ^{[1
]}

Gordon, NA

机构：

[1] Univ Hull, Dept Math, Kingston Upon Hull HU6 7RX, N Humberside, England

[2] Univ Hull, Dept Comp Sci, Kingston Upon Hull HU6 7RX, N Humberside, England

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2006年 / 39卷 / 02期

关键词：

polynomial degree; subsets of PG(N; 2); Grassmannian G(1; n;

D O I：

10.1007/s10623-005-4524-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

For a subset psi of PG(N, 2) a known result states that psi has polynomial degree <= r, r <= N, if and only if psi intersects every r-flat of PG(N, 2) in an odd number of points. Certain refinements of this result are considered, and are then applied in the case when psi is the Grassmannian G (l, n, 2) subset of PG (N, 2), N = ((n+ 1)(2)) -1, to show that for n < 8 the polynomial degree of G (l, n, 2) is ((n)(2))- 1.

引用

页码：289 / 306

页数：18

共 50 条

[11] Linear methods for G1, G2, and G3-Multi-degree reduction of Bezier curves
Rababah, Abedallah
Mann, Stephen
COMPUTER-AIDED DESIGN, 2013, 45 (02) : 405 - 414
[12] Torus quotients of Schubert varieties in the Grassmannian G2,n
Kannan, S. Senthamarai
Nayek, Arpita
Saha, Pinakinath
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2022, 53 (01): : 273 - 293
[13] Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah polynomials
Kresch, A
Tamvakis, H
DUKE MATHEMATICAL JOURNAL, 2001, 110 (02) : 359 - 376
[14] Bifurcation of limit cycles for a perturbed polynomial system with 2n+1 degree
Yang, Chen-xi
Tang, Min-ying
PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 2007, : 1380 - 1384
[15] Uniform (d+1)-bundle over the Grassmannian G(d, n)
Du, Rong
Zhou, Yuhang
INTERNATIONAL JOURNAL OF MATHEMATICS, 2025, 36 (04)
[16] Generalized Theorem for the G1(c, n) Numbers
Georgieva-Grosse, Mariana Nikolova
Georgiev, Georgi Nikolov
2019 PHOTONICS & ELECTROMAGNETICS RESEARCH SYMPOSIUM - SPRING (PIERS-SPRING), 2019, : 513 - 518
[17] Yeast G1 cyclins are unstable in G1 phase
Schneider, BL
Patton, EE
Lanker, S
Mendenhall, MD
Wittenberg, C
Futcher, B
Tyers, M
NATURE, 1998, 395 (6697) : 86 - 89
[18] Yeast G1 cyclins are unstable in G1 phase
Brandt L. Schneider
E. Elizabeth Patton
Stefan Lanker
Michael D. Mendenhall
Curt Wittenberg
Bruce Futcher
Mike Tyers
Nature, 1998, 395 : 86 - 89
[19] Counting partitions of Gn,1/2$$ {G}_{n,1/2} $$ with degree congruence conditions
Balister, Paul
Powierski, Emil
Scott, Alex
Tan, Jane
RANDOM STRUCTURES & ALGORITHMS, 2023, 62 (03) : 564 - 584
[20] The product of divisibility groups (G1, O1) x (G2, O2) with G1 finitely generated
Lequain, Yves
JOURNAL OF ALGEBRA, 2008, 319 (07) : 2979 - 2993

← 1 2 3 4 5 →