Abstract
Let k be an algebraically closed field of positive characteristic. For any integer <![CDATA[ $m\ge 2$ ]]>, 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.
Original language | English (US) |
---|---|
Article number | e45 |
Journal | Forum of Mathematics, Sigma |
DOIs | |
State | Accepted/In press - 2020 |
All Science Journal Classification (ASJC) codes
- Analysis
- Theoretical Computer Science
- Algebra and Number Theory
- Statistics and Probability
- Mathematical Physics
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Mathematics