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2001•Communications in AlgebraRequires access

TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS

Ulf Rehmann, Sergey Viktorovich Tikhonov, Vyacheslav Ivanovich Yanchevskii

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Abstract

We describe the 2-torsion part of the Brauer group of a hyperelliptic curve defined over an arbitrary field of characteristic different from 2 in terms of generators and relations.

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We describe the 2-torsion part of the Brauer group of a hyperelliptic curve defined over an arbitrary field of characteristic different from 2 in terms of generators and relations.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We describe the 2-torsion part of the Brauer group of a hyperelliptic curve defined over an arbitrary field of characteristic different from 2 in terms of generators and relations.

Key concepts: Mathematics, Brauer group, Torsion (gastropod), Hyperelliptic curve, Pure mathematics, Function field, Hyperelliptic curve cryptography, Field (mathematics)

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TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS — Research Paper | ScholarLens