The construction problem for Hodge numbers modulo an integer in positive characteristic

Remy van Dobben de Bruyn, Matthias Paulsen
2020 Forum of Mathematics, Sigma  
Let k be an algebraically closed field of positive characteristic. For any integer $m\ge 2$ , we show that the Hodge numbers of a smooth projective k-variety can take on any combination of values modulo m, subject only to Serre duality. In particular, there are no non-trivial polynomial relations between the Hodge numbers.
doi:10.1017/fms.2020.48 fatcat:wvvxg6amibe7pkqimu4jntm6dq