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arXiv · 2606.14345

Inherited arcs in André planes of even order

S. G. Barwick·Alice M. W. Hui·Wen-Ai Jackson
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Abstract

André planes of order $q^t$ can be constructed from the Desarguesian plane $PG(2,q^t)$ using a process that involves replacing André nets. This article constructs ovals in André planes of order $q^t$, $q$ even and $t$ prime that are inherited from conics of the Desarguesian plane $PG(2,q^t)$. Further, it is shown that certain conics do not inherit to arcs under the process of André replacement.

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S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson. 2026-06-12. Inherited arcs in André planes of even order. https://arxiv.org/abs/2606.14345

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