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

Remy Van Dobben De Bruyn, Matthias Paulsen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Let k be an algebraically closed field of positive characteristic. For any integer <![CDATA[ $m\ge 2$ ]]>, 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.

Original languageEnglish (US)
Article numbere45
JournalForum of Mathematics, Sigma
DOIs
StateAccepted/In press - 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

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