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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Remy Van Dobben De Bruyn
  • Matthias Paulsen

Organisationseinheiten

Externe Organisationen

  • Princeton University
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Details

OriginalspracheEnglisch
Aufsatznummere45
Seiten (von - bis)1-13
FachzeitschriftForum of Mathematics, Sigma
Jahrgang8
PublikationsstatusVeröffentlicht - 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.

ASJC Scopus Sachgebiete

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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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, Jg. 8, e45, S. 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. Artikel 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 ; Jahrgang 8. S. 1-13.
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