All Questions
Tagged with weil-conjectures hodge-theory
2 questions
9
votes
1
answer
1k
views
Serre's Analogue of the Weil Conjectures for Non-Compact Kahler Manifolds
The classical Riemann Hypothesis concerns the locations of zeroes of the Riemann zeta-function, or more generally the Dedekind zeta-functions of number fields. Its analogue for varieties defined over ...
14
votes
2
answers
2k
views
Can one find the hodge number by counting points over finite fields?
Given a proper smooth variety $X$ of dimension $n$ over $\mathbb{C}$, assume it has a model over a DVR of mixed characteristic $(0,p)$ with residue field $\mathbb{F}_q$, and assume the closed fiber $...