Spindle-configurations of skew lines

被引：0

作者：

Bacher, Roland ^{[1
]}

Garber, David ^{[2
]}

机构：

[1] Inst Fourier, F-38402 St Martin Dheres, France

[2] Holon Inst Technol, Dept Appl Math, Sch Sci, IL-58102 Holon, Israel

来源：

GEOMETRY & TOPOLOGY | 2007年 / 11卷

关键词：

D O I：

10.2140/gt.2007.11.1049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a contribution to the classification of configurations of skew lines, as studied mainly by Viro and his collaborators. We prove an improvement of a conjecture made by Crapo and Penne which characterizes isotopy classes of skew configurations with spindle-structure. By this result we can define an invariant, spindlegenus, for spindle-configurations.

引用

页码：1049 / 1081

页数：33

共 50 条

[1] TETRAHEDRA, SKEW LINES, AND VOLUME
SMITH, J
HENDERSON, M
[J]. COLLEGE MATHEMATICS JOURNAL, 1985, 16 (02): : 138 - 139
[2] NOTE ON CONFIGURATIONS OF LINES
LEMMENS, PWH
[J]. PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1979, 82 (03): : 317 - 321
[3] AS-configurations and skew-translation generalised quadrangles
Bamberg, John
Glasby, S. P.
Swartz, Eric
[J]. JOURNAL OF ALGEBRA, 2015, 421 : 311 - 330
[4] DISTANCE BETWEEN 2 SKEW LINES
SAELMAN, B
[J]. DESIGN NEWS, 1972, 27 (16) : 50 - &
[5] PROJECTIVE SURFACES WITH MANY SKEW LINES
Rams, Slawomir
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (01) : 11 - 13
[6] A combinatorial characterization of two skew lines
Lucci, Maurizio
[J]. JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2005, 8 (02): : 237 - 239
[7] DISTANCE BETWEEN 2 SKEW LINES
不详
[J]. DESIGN NEWS, 1975, 30 (14) : 72 - 72
[8] (224) and (264) configurations of lines
Cuntz, Michael J.
[J]. ARS MATHEMATICA CONTEMPORANEA, 2018, 14 (01) : 157 - 163
[9] Simple algorithm for designing skew-quadrupole cooling configurations
Carlsten, Bruce E.
Bishofberger, Kip A.
[J]. NEW JOURNAL OF PHYSICS, 2006, 8
[10] All lines on a smooth cubic surface in terms of three skew lines
McKean, Stephen
Minahan, Daniel
Zhang, Tianyi
[J]. NEW YORK JOURNAL OF MATHEMATICS, 2021, 27 : 1305 - 1327

← 1 2 3 4 5 →