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Preprint Number 1802

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1802. Benjamin Bakker, Yohan Brunebarbe, Bruno Klingler, Jacob Tsimerman
Definability of mixed period maps

Submission date: 22 June 2020


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

Mathematics Subject Classification: 32G20, 32S35, 14C30, 32G13, 14J10

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Full text arXiv 2006.12403: pdf, ps

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