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

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

Authors

  • Remy Van Dobben De Bruyn
  • Matthias Paulsen

Research Organisations

External Research Organisations

  • Princeton University
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Details

Original languageEnglish
Article numbere45
Pages (from-to)1-13
JournalForum of Mathematics, Sigma
Volume8
Publication statusPublished - 9 Nov 2020

Abstract

Let k be an algebraically closed field of positive characteristic. For any integer m≥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.

Keywords

    14F99 14G17 14A10 14E99

ASJC Scopus subject areas

Cite this

The construction problem for Hodge numbers modulo an integer in positive characteristic. / Van Dobben De Bruyn, Remy; Paulsen, Matthias.
In: Forum of Mathematics, Sigma, Vol. 8, e45, 09.11.2020, p. 1-13.

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

Van Dobben De Bruyn, R & Paulsen, M 2020, 'The construction problem for Hodge numbers modulo an integer in positive characteristic', Forum of Mathematics, Sigma, vol. 8, e45, pp. 1-13. https://doi.org/10.1017/fms.2020.48
Van Dobben De Bruyn, R., & Paulsen, M. (2020). The construction problem for Hodge numbers modulo an integer in positive characteristic. Forum of Mathematics, Sigma, 8, 1-13. Article e45. https://doi.org/10.1017/fms.2020.48
Van Dobben De Bruyn R, Paulsen M. The construction problem for Hodge numbers modulo an integer in positive characteristic. Forum of Mathematics, Sigma. 2020 Nov 9;8:1-13. e45. doi: 10.1017/fms.2020.48
Van Dobben De Bruyn, Remy ; Paulsen, Matthias. / The construction problem for Hodge numbers modulo an integer in positive characteristic. In: Forum of Mathematics, Sigma. 2020 ; Vol. 8. pp. 1-13.
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