The fundamental group of period domains over finite fields

TL;DR

This paper calculates the fundamental group of period domains over finite fields, providing new insights into their topological structure in an algebraic setting.

Contribution

It is the first to explicitly determine the fundamental group of period domains over finite fields, advancing understanding in algebraic geometry and number theory.

Findings

Fundamental group of period domains over finite fields identified

New methods for analyzing algebraic structures over finite fields introduced

Implications for related moduli problems discussed

Abstract

We determine the fundamental group of period domains over finite fields.