6 papers
A geometric determinant method and geometric dimension growth
Tijs Buggenhout, Yotam I. Hendel, Floris Vermeulen
We study a geometric version of the dimension growth conjecture. While it is closely related in spirit to themes arising in geometric Manin's conjecture, it applies in greater gene…
On Harish-Chandra's integrability theorem in positive characteristic
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +3
The celebrated Harish-Chandra's integrability theorem states that the distributional character of an irreducible smooth representation of a p-adic group is integrable, that…
Improvements on dimension growth results and effective Hilbert's irreducibility theorem
Raf Cluckers, Pierre Dèbes, Yotam I. Hendel +2
We sharpen and generalize the dimension growth bounds for the number of points of bounded height lying on an irreducible algebraic variety of degree , over any global field. In…
A lower bound on the analytic log-canonical threshold over local fields of positive characteristic
Itay Glazer, Yotam I. Hendel
Given a local field of positive characteristic, an -analytic manifold and an analytic function , the -analytic log-canonical threshold $\mathrm{lct}…
Integrability and singularities of Harish-Chandra characters
Itay Glazer, Julia Gordon, Yotam I. Hendel
Let be a reductive group over a local field of characteristic . By Harish-Chandra's regularity theorem, the character of an irreducible, admissible representatio…
Integrability of pushforward measures by analytic maps
Itay Glazer, Yotam I. Hendel, Sasha Sodin
Given a map between -analytic manifolds over a local field of characteristic , we introduce an invariant which quantifies the integra…