Beat Zurbuchen

activity

20172026

collaborators

3 papers

math.NT2026

Equidistribution for Tannakian monodromy groups

Beat Zurbuchen

We prove that a perverse sheaf on a connected commutatitve algebraic group over a finite is generically unramified. This implies an equidistribution theorem for Tannakian monodromy…

math.NT2024

Hypergeometric sheaves with tannakian monodromy group $G_{2}$

Beat Zurbuchen

Based on a suggestion by Katz, we determine the monodromy group of a certain hypergeometric sum to be $G_{2}$ . Our approach is based on the uniformity results by Katz on the Fourier…

math.CO2017

A lower bound for the size of Kakeya sets with respect to hyperplanes in $F_{q}^{n}$

Beat Zurbuchen

We prove that a subset of $F_{q}^{n}$ that contains a hyperplane in any direction has size at least $q^{n} - O (q^{2})$ .

Equidistribution for Tannakian monodromy groups

Hypergeometric sheaves with tannakian monodromy group G2​

A lower bound for the size of Kakeya sets with respect to hyperplanes in Fqn​

Hypergeometric sheaves with tannakian monodromy group $G_{2}$

A lower bound for the size of Kakeya sets with respect to hyperplanes in $F_{q}^{n}$