Constructing varieties with prescribed Hodge numbers modulo m in characteristic p -- Remy van Dobben de Bruyn, June 24, 2020.

Abstract: The inverse Hodge problem asks which possible Hodge diamonds can occur for smooth projective varieties. While this is a very hard problem in general, Paulsen and Schreieder recently showed that in characteristic 0 there are no restrictions on the modulo m Hodge numbers, besides the usual symmetries. In joint work with Matthias Paulsen, we extend this to positive characteristic, where some new phenomena occur.