Semistable abelian varieties with good reduction outside 15

DOI10.1007/s00229-011-0509-yzbMath1323.11040OpenAlexW2006762683MaRDI QIDQ451998

René Schoof

Publication date: 19 September 2012

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

Full work available at URL: https://doi.org/10.1007/s00229-011-0509-y

zbMATH Keywords

powers of Jacobian of modular curve \(X_0(15)\)

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15)

Related Items (6)

Certain abelian varieties bad at only one prime ⋮ Hyperelliptic \(\mathcal{S}_7\)-curves of prime conductor ⋮ Paramodular abelian varieties of odd conductor ⋮ Modularity of abelian varieties over \(\mathbb Q\) with bad reduction in one prime only ⋮ Corrigendum to “Paramodular abelian varieties of odd conductor" ⋮ Computation of framed deformation functors

Cites Work

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• Remarks on Serre's modularity conjecture
• Finiteness theorems for abelian varieties over number fields.
• There are no abelian varieties over \(\mathbb Z\).
• Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 -- August 3, 1972
• Abelian varieties over cyclotomic fields with good reduction everywhere
• GALOIS MODULI OF PERIOD $p$ GROUP SCHEMES OVER A RING OF WITT VECTORS
• Lower bounds for discriminants of number fields
• Group schemes of prime order
• Abelian varieties over $\mathbb{Q}$ with bad reduction in one prime only
• Non-existence of certain semistable abelian varieties

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