4 papers
Critical loci of self-maps of projective space
Matt Olechnowicz, Max Weinreich
Let be an algebraically closed field and let . We show that the critical scheme of a general endomorphism of of degree is an integral hypersur…
Degree growth of skew pentagram maps
Max Weinreich
Skew pentagram maps act on polygons by intersecting diagonals of different lengths. They were introduced by Khesin-Soloviev in 2015 as conjecturally non-integrable generalizations…
Algebraic billiards in the Fermat hyperbola
Max Weinreich
We prove two results on the algebraic dynamics of billiards in generic algebraic curves of degree . First, the dynamical degree grows quadratically in ; second, the se…
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…