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

Abstract

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.

Published version. 15 pages

References in corpus (2)

• The construction problem for Hodge numbers modulo an integer
• The Hodge ring of varieties in positive characteristic

Cited by in corpus (1)

• The Hodge ring of varieties in positive characteristic