Lax embeddings of the Hermitian unital
(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:
http://hdl.handle.net/1854/LU-2096519
- author
- Valentina Pepe UGent and Hendrik Van Maldeghem UGent
- organization
- year
- 2013
- 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
- 2016-12-19 15:44:51
@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.