Definability of mixed period maps

  • Benjamin Bakker

    University of Illinois at Chicago, USA
  • Yohan Brunebarbe

    Université de Bordeaux, Talence, France
  • Bruno Klingler

    Humboldt Universität, Berlin, Germany
  • Jacob Tsimerman

    University of Toronto, Canada
Definability of mixed period maps cover
Download PDF

This article is published open access under our Subscribe to Open model.


We equip integral graded-polarized mixed period spaces with a natural -definable analytic structure, and prove that any period map associated to an admissible variation of integral graded-polarized mixed Hodge structures is definable in with respect to this structure. As a consequence we re-prove that the zero loci of admissible normal functions are algebraic.

Cite this article

Benjamin Bakker, Yohan Brunebarbe, Bruno Klingler, Jacob Tsimerman, Definability of mixed period maps. J. Eur. Math. Soc. 26 (2024), no. 6, pp. 2191–2209

DOI 10.4171/JEMS/1319