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Lax embeddings of the Hermitian unital

Valentina Pepe UGent and Hendrik Van Maldeghem UGent (2013) DESIGNS CODES AND CRYPTOGRAPHY. 68(1-3). p.325-347
abstract
In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital of a quadratic extension of the field and , in a , with any field and d a parts per thousand yen 7, such that disjoint blocks span disjoint subspaces, is the standard Veronesean embedding in a subgeometry of (and d = 7) or it consists of the projection from a point of from a subgeometry of into a hyperplane . In order to do so, when we strongly use the linear representation of the affine part of (the line at infinity being secant) as the affine part of the generalized quadrangle (the solid at infinity being non-singular); when , we use the connection of with the generalized hexagon of order 2.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Hermitian unital, Lax embedding, Standard Veronesean embedding, GENERALIZED QUADRANGLES, SPREADS
journal title
DESIGNS CODES AND CRYPTOGRAPHY
Designs Codes Cryptogr.
volume
68
issue
1-3
issue title
Finite geometries
pages
325 - 347
Web of Science type
Article
Web of Science id
000318173000023
JCR category
MATHEMATICS, APPLIED
JCR impact factor
0.73 (2013)
JCR rank
128/251 (2013)
JCR quartile
3 (2013)
ISSN
0925-1022
DOI
10.1007/s10623-011-9571-4
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2096519
handle
http://hdl.handle.net/1854/LU-2096519
date created
2012-04-30 12:56:05
date last changed
2013-07-15 11:10:29
@article{2096519,
  abstract     = {In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital of a quadratic extension of the field and , in a , with any field and d a parts per thousand yen 7, such that disjoint blocks span disjoint subspaces, is the standard Veronesean embedding in a subgeometry of (and d = 7) or it consists of the projection from a point of from a subgeometry of into a hyperplane . In order to do so, when we strongly use the linear representation of the affine part of (the line at infinity being secant) as the affine part of the generalized quadrangle (the solid at infinity being non-singular); when , we use the connection of with the generalized hexagon of order 2.},
  author       = {Pepe, Valentina and Van Maldeghem, Hendrik},
  issn         = {0925-1022},
  journal      = {DESIGNS CODES AND CRYPTOGRAPHY},
  keyword      = {Hermitian unital,Lax embedding,Standard Veronesean embedding,GENERALIZED QUADRANGLES,SPREADS},
  language     = {eng},
  number       = {1-3},
  pages        = {325--347},
  title        = {Lax embeddings of the Hermitian unital},
  url          = {http://dx.doi.org/10.1007/s10623-011-9571-4},
  volume       = {68},
  year         = {2013},
}

Chicago
Pepe, Valentina, and Hendrik Van Maldeghem. 2013. “Lax Embeddings of the Hermitian Unital.” Designs Codes and Cryptography 68 (1-3): 325–347.
APA
Pepe, V., & Van Maldeghem, H. (2013). Lax embeddings of the Hermitian unital. DESIGNS CODES AND CRYPTOGRAPHY, 68(1-3), 325–347.
Vancouver
1.
Pepe V, Van Maldeghem H. Lax embeddings of the Hermitian unital. DESIGNS CODES AND CRYPTOGRAPHY. 2013;68(1-3):325–47.
MLA
Pepe, Valentina, and Hendrik Van Maldeghem. “Lax Embeddings of the Hermitian Unital.” DESIGNS CODES AND CRYPTOGRAPHY 68.1-3 (2013): 325–347. Print.