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

Remy Van Dobben De Bruyn; Matthias Paulsen

doi:10.1017/fms.2020.48

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

Remy Van Dobben De Bruyn, Matthias Paulsen

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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)
Article number	e45
Journal	Forum of Mathematics, Sigma
Volume	8
DOIs	https://doi.org/10.1017/fms.2020.48
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

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10.1017/fms.2020.48

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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.",

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AB - 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.

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JO - Forum of Mathematics, Sigma

JF - Forum of Mathematics, Sigma

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ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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