Curves with prescribed period and index over local fields

DOI10.1016/j.jalgebra.2007.02.020zbMath1128.14021OpenAlexW2005117255MaRDI QIDQ2382979

Shahed Sharif

Publication date: 5 October 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.02.020

zbMATH Keywords

indexlocal fieldperiodarithmetic geometryTate curve

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Local ground fields in algebraic geometry (14G20) Elliptic curves over local fields (11G07)

Related Items

Galois sections for abelianized fundamental groups ⋮ Period and index of genus one curves over global fields ⋮ Period and index for higher genus curves ⋮ The Brauer-Manin obstruction for sections of the fundamental group ⋮ Splitting Brauer classes using the universal Albanese

Cites Work

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• On the indices of curves over local fields
• Duality theorems for curves over p-adic fields
• Algebraic Groups Over Finite Fields
• Principal Homogeneous Spaces Over Abelian Varieties