Real Four-Dimensional M-Triquadrics

被引：1

作者：

Krasnov, V. A. ^{[1
]}

机构：

[1] Yaroslavl State Univ, Yaroslavl, Russia

来源：

MATHEMATICAL NOTES | 2012年 / 92卷 / 5-6期

关键词：

six-dimensional quadric; triquadric; spectral curve; spectral bundle; index function; index orientation; complete involution; cohomology group; Stiefel-Whitney class; QUADRICS;

D O I：

10.1134/S0001434612110247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nonsingular maximal intersections of three real six-dimensional quadrics are considered. Such algebraic varieties are referred to for brevity as real four-dimensional M-triquadrics. The dimensions of their cohomology spaces with coefficients in the field of two elements are calculated. DOI: 10.1134/S0001434612110247

引用

页码：790 / 796

页数：7

共 50 条

[1] Real four-dimensional M-triquadrics
V. A. Krasnov
Mathematical Notes, 2012, 92 : 790 - 796
[2] Real M-triquadrics
Krasnov, V. A.
IZVESTIYA MATHEMATICS, 2013, 77 (01) : 30 - 43
[3] Cohomology of real four-dimensional triquadrics
Krasnov, V. A.
IZVESTIYA MATHEMATICS, 2012, 76 (05) : 922 - 945
[4] Real four-dimensional GM-triquadrics
V. A. Krasnov
Mathematical Notes, 2013, 93 : 830 - 836
[5] Real four-dimensional GM-triquadrics
Krasnov, V. A.
MATHEMATICAL NOTES, 2013, 93 (5-6) : 830 - 836
[6] Real four-dimensional biquadrics
Krasnov, V. A.
IZVESTIYA MATHEMATICS, 2011, 75 (02) : 371 - 394
[7] Classification of four-dimensional real division algebras
Dieterich, E
MATHEMATISCHE NACHRICHTEN, 1998, 194 : 13 - 22
[8] On the real theory of four-dimensional conformal structures
Akivis, MA
JOURNAL OF GEOMETRY AND PHYSICS, 1996, 21 (01) : 55 - 80
[9] Cohomology of real three-dimensional triquadrics
Krasnov, V. A.
IZVESTIYA MATHEMATICS, 2012, 76 (01) : 113 - 138
[10] On the Classification of Real Four-Dimensional Lie Groups
Biggs, Rory
Remsing, Claudiu C.
JOURNAL OF LIE THEORY, 2016, 26 (04) : 1001 - 1035

← 1 2 3 4 5 →