Quaternion algebras over curves of genus one without rational points

Pumpluen, Susanne (2005) Quaternion algebras over curves of genus one without rational points. ALGEBRA COLLOQUIUM, 12 (1). pp. 67-92. ISSN 1005-3867,

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Abstract

Quaternion algebras over curves of genus one without rational points over perfect fields of characteristic not two are classified. As a consequence, all quaternion algebras over the function field of such a curve, which are unramified everywhere, are classified.

Item Type: Article
Uncontrolled Keywords: VECTOR-BUNDLES; ZERO; quaternion algebras; curves of genus one; Azumaya algebras; Hasse principle; unramified quaternion algebras
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 18 May 2021 09:49
Last Modified: 18 May 2021 09:49
URI: https://pred.uni-regensburg.de/id/eprint/36384

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