2 papers
math.AG2025
Configurations of 10 points and their incidence varieties
Kelly Isham, Nathan Kaplan, Sam Kimport +3
Incidence varieties are spaces of -tuples of points in the projective plane that satisfy a given set of collinearity conditions. We classify the components of incidence varietie…
math.CO2016
Counting Arcs in Projective Planes via Glynn's Algorithm
Nathan Kaplan, Susie Kimport, Rachel Lawrence +2
An -arc in a projective plane is a collection of distinct points in the plane, no three of which lie on a line. Formulas counting the number of -arcs in any finite projec…