Abstract
Let k be an algebraically closed field of positive characteristic. For any integer, 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) |
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Article number | e45 |
Journal | Forum of Mathematics, Sigma |
Volume | 8 |
DOIs | |
State | Published - Nov 9 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
Keywords
- 14F99 14G17 14A10 14E99