2 papers
math.CO2026
Inherited arcs in André planes of even order
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson
André planes of order can be constructed from the Desarguesian plane using a process that involves replacing André nets. This article constructs ovals in André…
math.CO2026
Enumerating inherited conics in André planes of odd order
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson
The process of deriving the Desarguesian plane to get the Hall plane is well known, and the problem of when a conic in inherits to an arc in the Hall plane…