S. Barwick

activity

20122026

most citedExterior splashes and linear sets of rank 3

6 citations · 22 across the 24 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.CO2014★ 1 cited

The exterior splash in $P G (6, q)$ : Special conics

S. G. Barwick, Wen-Ai Jackson

Let $π$ be an order- $q$ -subplane of $P G (2, q^{3})$ that is exterior to $ℓ_{\infty}$ . The exterior splash of $π$ is the set of $q^{2} + q + 1$ points on $ℓ_{\infty}$ that lie on an extende…

math.CO2014

Hyper-reguli in PG(5,q)

S. G. Barwick, Wen-Ai Jackson

A simple counting argument is used to show that for all $q$ , an André hyper-regulus $X$ in $P G (5, q)$ has exactly two switching sets. Moreover, there are exactly $2(q^2+q+1)…

math.CO2014

The exterior splash in PG(6,q): Transversals

S. G. Barwick, Wen-Ai Jackson

Let $π$ be an order- $q$ -subplane of $P G (2, q^{3})$ that is exterior to $ℓ_{\infty}$ . Then the exterior splash of $π$ is the set of $q^{2} + q + 1$ points on $ℓ_{\infty}$ that lie on an ex…

math.CO2014★ 6 cited

Exterior splashes and linear sets of rank 3

S. G. Barwick, Wen-Ai Jackson

In $\PG(2,q^3)$, let $π$ be a subplane of order $q$ that is exterior to $\li$. The exterior splash of $π$ is defined to be the set of $q^{2} + q + 1$ points on $\li$ that lie on a line o…

The exterior splash in PG(6,q): Special conics

Hyper-reguli in PG(5,q)

The exterior splash in PG(6,q): Transversals

Exterior splashes and linear sets of rank 3

The exterior splash in $P G (6, q)$ : Special conics