Local torsion on abelian surfaces with real multiplication by ${\bf Q}(\sqrt{5})$

DOI10.1142/S1793042114500572zbMath1318.11079arXiv1307.6355OpenAlexW2962946423MaRDI QIDQ3191222

Adam Gamzon

Publication date: 30 September 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6355

zbMATH Keywords

torsion pointsdeformations of Galois representationsabelian surfaces

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Local ground fields in algebraic geometry (14G20) Arithmetic ground fields for abelian varieties (14K15)

Cites Work

• Unnamed Item
• Group schemes over Artinian rings and applications
• Local torsion on elliptic curves and the deformation theory of Galois representations
• On the non ordinary locus in Hilbert-Blumenthal surfaces
• Abelian surfaces with level \(\sqrt{5}\) structure
• Heights in number fields
• Galois Action on Division Points of Abelian Varieties with Real Multiplications
• Unobstructed modular deformation problems

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