Paul Hamacher

collaborators

2 papers

math.AG2025

Point Counting on Igusa Varieties for function fields

Paul Hamacher, Wansu Kim

Igusa varieties over the special fibre of Shimura varieties have demonstrated many applications to the Langlands program via Mantovan's formula and Shin's point counting method. In…

math.AG2025

On the Tate conjecture for divisors on varieties with $h^{2, 0} = 1$ in positive characteristics

Paul Hamacher, Ziquan Yang, Xiaolei Zhao

We prove that the Tate conjecture for divisors is ''generically true'' for mod p reductions of complex projective varieties with $h^{2, 0} = 1$ , under a mild assumption on moduli.…

Point Counting on Igusa Varieties for function fields

On the Tate conjecture for divisors on varieties with h2,0=1 in positive characteristics

On the Tate conjecture for divisors on varieties with $h^{2, 0} = 1$ in positive characteristics