Archiv der Mathematik

, Volume 104, Issue 2, pp 133–143 | Cite as

Good reduction of algebraic groups and flag varieties

Article

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.

Mathematics Subject Classification

14L15 (11E72, 14G25) 

Keywords

Shafarevich conjecture Reductive groups Flag varieties 

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Authors and Affiliations

  1. 1.Institut für MathematikJohannes Gutenberg-Universität MainzMainzGermany
  2. 2.Institut für Algebra, Zahlentheorie und Diskrete MathematikLeibniz Universität HannoverHannoverGermany

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