The locus of Hodge classes in an admissible variation of mixed Hodge structure

TL;DR

This paper extends a fundamental theorem about Hodge classes to a broader context of admissible variations of mixed Hodge structures, enhancing understanding of their geometric and algebraic properties.

Contribution

It generalizes the theorem of Cattani, Deligne, and Kaplan to admissible variations of mixed Hodge structure, broadening its applicability.

Findings

Extended the theorem to mixed Hodge structures

Provided new insights into the locus of Hodge classes

Enhanced the theoretical framework for Hodge theory

Abstract

We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed Hodge structure.