New Non-existence Proofs for Ovoids of Hermitian Polar Spaces and Hyperbolic Quadrics

John Bamberg, Jan De Beule, Ferdinand Ihringer

Research output: Contribution to journalArticle

Abstract

We provide new proofs for the non-existence of ovoids in hyperbolic spaces of rank at least four in even characteristic, and for the Hermitian polar space H(5,4). We also improve the results of A. Klein on the non-existence of ovoids of Hermitian spaces and hyperbolic quadrics.

Original languageEnglish
Pages (from-to)25-42
Number of pages18
JournalAnnals of Combinatorics
Volume21
Issue number1
DOIs
Publication statusPublished - 1 Mar 2017

Fingerprint

Polar Space
Quadric
Nonexistence
Hyperbolic Space

Cite this

Bamberg, John ; De Beule, Jan ; Ihringer, Ferdinand. / New Non-existence Proofs for Ovoids of Hermitian Polar Spaces and Hyperbolic Quadrics. In: Annals of Combinatorics. 2017 ; Vol. 21, No. 1. pp. 25-42.
@article{b79c92ccd3464cb28900cd6754191a48,
title = "New Non-existence Proofs for Ovoids of Hermitian Polar Spaces and Hyperbolic Quadrics",
abstract = "We provide new proofs for the non-existence of ovoids in hyperbolic spaces of rank at least four in even characteristic, and for the Hermitian polar space H(5,4). We also improve the results of A. Klein on the non-existence of ovoids of Hermitian spaces and hyperbolic quadrics.",
keywords = "finite classical polar space, ovoid, tight set",
author = "John Bamberg and {De Beule}, Jan and Ferdinand Ihringer",
year = "2017",
month = "3",
day = "1",
doi = "10.1007/s00026-017-0346-0",
language = "English",
volume = "21",
pages = "25--42",
journal = "Annals of Combinatorics",
issn = "0218-0006",
publisher = "Springer Basel AG",
number = "1",

}

New Non-existence Proofs for Ovoids of Hermitian Polar Spaces and Hyperbolic Quadrics. / Bamberg, John; De Beule, Jan; Ihringer, Ferdinand.

In: Annals of Combinatorics, Vol. 21, No. 1, 01.03.2017, p. 25-42.

Research output: Contribution to journalArticle

TY - JOUR

T1 - New Non-existence Proofs for Ovoids of Hermitian Polar Spaces and Hyperbolic Quadrics

AU - Bamberg, John

AU - De Beule, Jan

AU - Ihringer, Ferdinand

PY - 2017/3/1

Y1 - 2017/3/1

N2 - We provide new proofs for the non-existence of ovoids in hyperbolic spaces of rank at least four in even characteristic, and for the Hermitian polar space H(5,4). We also improve the results of A. Klein on the non-existence of ovoids of Hermitian spaces and hyperbolic quadrics.

AB - We provide new proofs for the non-existence of ovoids in hyperbolic spaces of rank at least four in even characteristic, and for the Hermitian polar space H(5,4). We also improve the results of A. Klein on the non-existence of ovoids of Hermitian spaces and hyperbolic quadrics.

KW - finite classical polar space

KW - ovoid

KW - tight set

UR - http://www.scopus.com/inward/record.url?scp=85012225094&partnerID=8YFLogxK

U2 - 10.1007/s00026-017-0346-0

DO - 10.1007/s00026-017-0346-0

M3 - Article

VL - 21

SP - 25

EP - 42

JO - Annals of Combinatorics

JF - Annals of Combinatorics

SN - 0218-0006

IS - 1

ER -