Elaine A. Walker

activity

20192023

most citedBisector fields and projective duality

2 citations · 3 across the 3 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.AG2023★ 2 cited

Bisector fields and projective duality

Bruce Olberding, Elaine A. Walker

Working over a field $k$ of characteristic $\neq = 2$ , we study what we call bisector fields, which are arrangements of paired lines in the plane that have the property tha…

math.CO2023

Bisector fields of quadrilaterals

Bruce Olberding, Elaine A. Walker

Working over a field of characteristic other than $2$ , we examine a relationship between quadrilaterals and the pencil of conics passing through their vertices. Asymptotically, suc…

math.MG2023★ 1 cited

Bisector fields and pencils of conics

Bruce Olberding, Elaine A. Walker

We introduce the notion of a bisector field, which is a maximal collection of pairs of lines such that for each line in each pair, the midpoint of the points where the line crosses…