Article contents
The construction problem for Hodge numbers modulo an integer in positive characteristic
Published online by Cambridge University Press: 09 November 2020
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.
MSC classification
- Type
- Algebraic and Complex Geometry
- Information
- Creative Commons
- This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Copyright
- © The Author(s), 2020. Published by Cambridge University Press
References
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