Good reduction of algebraic groups and flag varieties

2015/01/19 by Ariyan Javanpeykar, Javanpeykar, Ariyan, Daniel Loughran +1
Computer Science · Mathematics · #14G25 (Secondary) #14L15 (Primary) 11E72 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1501.04526

openalex publication_date 2015/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 1983, Faltings proved that there are only finitely many abelian varieties over a number field of fixed dimension and with good reduction outside a given set of places. In this paper, we consider the analogous problem for other algebraic groups and their homogeneous spaces, such as flag varieties.

Related

• A finiteness theorem for abelian varieties with totally bad reduction
• Linear algebraic groups with good reduction
• Parametrizations of flag varieties
• Boundedness properties of automorphism groups of forms of flag varieties
• Good reduction, bad reduction