29 citations · 55 across the 18 of their papers we have counts for
5 papers · 1 filter
Non-Noetherian representation categories of generalized fields
Maël Denys, Márton Hablicsek, Giacomo Negrisolo
In this paper, we show that the categories of finitely generated projective -modules and -modules with morphisms being (splittable) injections are no…
On the number of rich lines in high dimensional real vector spaces
Marton Hablicsek, Zachary Scherr
In this short note we use the polynomial partitioning lemma to strengthen a recent result of Dvir and Gopi about the number of rich lines in high dimensional Euclidean spaces. Our…
On the joints problem with multiplicities
Márton Hablicsek
In this short note we apply a recent theorem of Kollár about the arithmetic genus of curves to give a bound on the number of joints weighted by the multiplicities. This gives an af…
An incidence conjecture of Bourgain over fields of positive characteristic
Jordan S. Ellenberg, Marton Hablicsek
In this note we generalize a recent theorem of Guth and Katz on incidences between points and lines in -space from characteristic to characteristic , and we explain how s…
Kakeya sets over non-archimedean local rings
Evan P. Dummit, Márton Hablicsek
In a recent paper of Ellenberg, Oberlin, and Tao, the authors asked whether there are Besicovitch phenomena in F_q[[t]]^n. In this paper, we answer their question in the affirmativ…