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Glasnik matematički, Vol. 58 No. 2, 2023.

Original scientific paper

https://doi.org/10.3336/gm.58.2.12

Splitness of the Veronesean dual hyperovals: a quick proof

Ulrich Dempwolff ; Department of Mathematics, Technical University Kaiserslautern, 67653 Kaiserslautern, Germany

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page 327-330

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Abstract

Satoshi Yoshiara shows in [7] that
the Veronesean dual hyperovals over \({\mathbb F}_2\) are of split type.
So far there exists no published proof
that a Veronesean dual hyperoval over any finite field of even characteristic
is of split type.
In this note
we give a quick proof of this fact.

Keywords

Dimensional dimensional dual hyperoval

Hrčak ID:

312019

URI

https://hrcak.srce.hr/312019

Publication date:

29.5.2024.

Visits: 141 *

Publication date: 27 December 2023

Volume: Vol 58

Issue: Svezak 2

Pages: 327-330

DOI: 10.3336/gm.58.2.12

Article Information (continued)

Categories:

Subject: Izvorni znanstveni članak

Keywords:

Keyword: Dimensional dimensional dual hyperoval

Splitness of the Veronesean dual hyperovals: a quick proof

Ulrich Dempwolff[1]

Email: dempwolff@mathematik.uni-kl.de

 

[1] Department of Mathematics, Technical University Kaiserslautern, 67653 Kaiserslautern, Germany

Abstract

Satoshi Yoshiara shows in [7] that the Veronesean dual hyperovals over \({\mathbb F}_2\) are of split type. So far there exists no published proof that a Veronesean dual hyperoval over any finite field of even characteristic is of split type. In this note we give a quick proof of this fact.

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