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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.AG2024
Generalized Eckardt points on del Pezzo surfaces of degree 1
Julie Desjardins, Yu Fu, Kelly Isham +1
We study intersections of exceptional curves on del Pezzo surfaces of degree 1, motivated by questions in arithmetic geometry. Outside characteristics 2 and 3, at most 10 exception…
math.AG2021
Rational linear subspaces of hypersurfaces over finite fields
María Inés de Frutos Fernández, Sumita Garai, Kelly Isham +2
Let be a hypersurface of degree defined over a finite field of characteristic . We prove that if , then contains…