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The construction problem for hodge numbers modulo an integer

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Matthias Paulsen
  • Stefan Schreieder

External Research Organisations

  • Ludwig-Maximilians-Universität München (LMU)

Details

Original languageEnglish
Pages (from-to)2427-2434
Number of pages8
JournalAlgebra and Number Theory
Volume13
Issue number10
Publication statusPublished - 6 Jan 2020
Externally publishedYes

Abstract

For any integer m ≥ 2 and any dimension n ≥ 1, we show that any n-dimensional Hodge diamond with values in (FORMULA PRESENTED) is attained by the Hodge numbers of an n-dimensional smooth complex projective variety. As a corollary, there are no polynomial relations among the Hodge numbers of n-dimensional smooth complex projective varieties besides the ones induced by the Hodge symmetries, which answers a question raised by Kollár in 2012.

Keywords

    Construction problem, Hodge numbers, Kähler manifolds

ASJC Scopus subject areas

Cite this

The construction problem for hodge numbers modulo an integer. / Paulsen, Matthias; Schreieder, Stefan.
In: Algebra and Number Theory, Vol. 13, No. 10, 06.01.2020, p. 2427-2434.

Research output: Contribution to journalArticleResearchpeer review

Paulsen M, Schreieder S. The construction problem for hodge numbers modulo an integer. Algebra and Number Theory. 2020 Jan 6;13(10):2427-2434. doi: 10.2140/ant.2019.13.2427
Paulsen, Matthias ; Schreieder, Stefan. / The construction problem for hodge numbers modulo an integer. In: Algebra and Number Theory. 2020 ; Vol. 13, No. 10. pp. 2427-2434.
Download
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