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Good reduction of algebraic groups and flag varieties

Published 19 Jan 2015 in math.NT and math.AG | (1501.04526v1)

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.

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