On the existence of projective embeddings of multiveblen configurations

被引：2

作者：

Prazmowska, Malgorzata ^{[1
]}

机构：

[1] Univ Bialystok, Inst Math, PL-15267 Bialystok, Poland

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2010年 / 17卷 / 02期

关键词：

multiveblen configuration; projective embedding; combinatorial Grassmannian; Desargues configuration; partial Steiner triple system;

D O I：

10.36045/bbms/1274896205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that from among simple multiveblen configurations only combinatorial Grassmannians can be embedded into a Desarguesian projective space. The class of regular multiveblen configurations which are projectively embeddable is determined.

引用

页码：259 / 273

页数：15

共 50 条

[31] On embeddings of modular curves in projective spaces
Goran Muić
Monatshefte für Mathematik, 2014, 173 : 239 - 256
[32] ON PROJECTIVE EMBEDDINGS OF GENERIC RATIONAL SURFACES
BALLICO, E
COMMUNICATIONS IN ALGEBRA, 1994, 22 (07) : 2621 - 2637
[33] Scalar curvature and projective embeddings, I
Donaldson, SK
JOURNAL OF DIFFERENTIAL GEOMETRY, 2001, 59 (03) : 479 - 522
[34] On the representation of configurations in projective spaces
Glynn, DG
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2000, 86 (02) : 443 - 456
[35] On the existence of λ-projective splitters
Pabst, SL
ARCHIV DER MATHEMATIK, 2000, 74 (05) : 330 - 336
[36] Configurations in finite projective planes
V. K. Medvedev
Ukrainian Mathematical Journal, 1997, 49 (10) : 1516 - 1532
[37] Isomorphism invariants for projective configurations
Shephard, GC
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1999, 51 (06): : 1277 - 1299
[38] Enumeration of configurations in the projective plane
Rolland, R
Skorobogatov, AN
ARITHMETIC, GEOMETRY AND CODING THEORY, 1996, : 199 - 207
[39] Stick models of projective configurations
Luotoniemi, Taneli
JOURNAL OF MATHEMATICS AND THE ARTS, 2022, 16 (1-2) : 104 - 120
[40] CONFIGURATIONS OF LINEAR PROJECTIVE SUBVARIETIES
BOLONDI, G
MIGLIORE, JC
LECTURE NOTES IN MATHEMATICS, 1989, 1389 : 19 - 31

← 1 2 3 4 5 →