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arXiv · 2006.12403

Definability of mixed period maps

Benjamin Bakker·Yohan Brunebarbe·Bruno Klingler·Jacob Tsimerman
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Abstract

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

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Benjamin Bakker, Yohan Brunebarbe, Bruno Klingler, Jacob Tsimerman. 2020-06-22. Definability of mixed period maps. https://arxiv.org/abs/2006.12403

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