Height functions for motives, II

TL;DR

This paper extends the theory of height functions for motives to more general period domains and explores a Hodge theoretic variant of Nevanlinna theory, broadening the scope of motive height analysis.

Contribution

It introduces generalized height functions for motives on broader period domains and develops a Hodge theoretic Nevanlinna theory variant.

Findings

Extended height functions to more general motives and period domains

Developed a Hodge theoretic Nevanlinna theory framework

Provided new tools for analyzing motives in complex geometry

Abstract

This is the Part II of our paper "Height functions for motives". We consider more general period domains and the height functions on more general sets of motives. We also consider the corresponding Hodge theoretic variant of Nevanlinna theory.