Curves over higher local fields

2008/02/25 by Belgacem Draouil, Draouil, Belgacem
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.0802.3657

Abstract

In this work, we prove the vanishing of the two cohomological group of the higher local field. This generalize the well-known propriety of finite field and one dimensional local field. We apply this result to study the arithmetic of curve defined over higher local field.

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