Non-existence of certain semistable abelian varieties

DOI10.1007/PL00005885zbMath1073.14544arXivmath/0011270MaRDI QIDQ5955026

Armand Brumer, Kenneth Kramer

Publication date: 2001

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0011270

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Varieties over global fields (11G35) Arithmetic ground fields for abelian varieties (14K15) Varieties over finite and local fields (11G25)

Related Items (10)

Artin's conjecture for abelian varieties ⋮ Certain abelian varieties bad at only one prime ⋮ Hyperelliptic \(\mathcal{S}_7\)-curves of prime conductor ⋮ Semistable abelian varieties with good reduction outside 15 ⋮ Paramodular abelian varieties of odd conductor ⋮ Automorphic forms and rational homology 3-spheres ⋮ Modularity of abelian varieties over \(\mathbb Q\) with bad reduction in one prime only ⋮ Explicit Determination of the Images of the Galois Representations Attached to Abelian Surfaces with End(A) = Z ⋮ A GEOMETRIC VARIANT OF TITCHMARSH DIVISOR PROBLEM ⋮ On the Titchmarsh divisor problem for abelian varieties

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