The arithmetic of curves over two dimensional local fields

zbMATH Open1251.11048arXiv0705.0251MaRDI QIDQ732001

Belgacem Draouil

Publication date: 9 October 2009

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Abstract: We study the class field theory of curve defined over two dimensional local field. The approch used here is a combination of the work of Kato-Saito, and Yoshida where the base field is one dimensional

Full work available at URL: https://arxiv.org/abs/0705.0251

zbMATH Keywords

higher local fieldscurves over local fieldsBloch-Ogus complexgeneralized reciprocity map

Mathematics Subject Classification ID

Geometric class field theory (11G45) Curves over finite and local fields (11G20)

Related Items (5)

Locally potentially equivalent two dimensional Galois representations and Frobenius fields of elliptic curves ⋮ Arithmetic on two dimensional local rings ⋮ Duality on elliptic curves over local fields. II ⋮ 2-Adic Arithmetic-Geometric Mean and Elliptic Curves ⋮ On the indices of curves over local fields

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