ON THE FIELDS OF DEFINITION OF HODGE LOCI

被引：1

作者：

Klingler, Bruno ^{[1
]}

Otwinowska, Ania ^{[1
]}

Urbanik, David ^{[2
]}

机构：

[1] Humboldt Univ, Berlin, Germany

[2] Univ Toronto, Toronto, ON, Canada

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2023年 / 56卷 / 04期

基金：

欧盟地平线“2020”;

关键词：

D O I：

10.24033/asens.2555

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For V -> S a polarizable variation of Hodge structure defined over (Q) over bar, the special subvarieties of S on which V admits exceptional Hodge tensors are conjectured to be defined over (Q) over bar. We prove this conjecture for special subvarieties satisfying a simple monodromy condition, and illustrate this result for the universal family of smooth hypersurfaces of fixed degree in projective space. Using the same ideas, we moreover reduce the conjecture for special subvarieties of arbitrary dimension to the conjecture for special points.

引用

页码：1299 / 1312

页数：14

共 20 条

[1]

ANDRE Y, 1992, COMPOS MATH, V82, P1

[2] An abelian category of motivic sheaves [J].