Definability of mixed period maps

被引：0

作者：

Bakker, Benjamin ^{[1
]}

Brunebarbe, Yohan ^{[2
]}

Klingler, Bruno ^{[3
]}

Tsimerman, Jacob ^{[4
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

[2] Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France

[3] Humboldt Univ, Dept Math, D-12489 Berlin, Germany

[4] Univ Toronto, Dept Math, Toronto, ON, Canada

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2024年 / 26卷 / 06期

基金：

欧洲研究理事会;

关键词：

Hodge theory; period domains; o-minimal structures; HODGE STRUCTURE; ZERO LOCUS; DEGENERATION; THEOREM;

D O I：

10.4171/JEMS/1319

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We equip integral graded-polarized mixed period spaces with a natural R a l g -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 re-prove that the zero loci of admissible normal functions are algebraic.

引用

页码：2191 / 2209

页数：19

共 23 条

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