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19 April 2024

» arxiv » math.AG/0410524

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Division algebras that ramify only on a plane quartic curve
Boris E. Kunyavskii ; Louis H. Rowen ; Sergey V. Tikhonov ; Vyacheslav I. Yanchevskii ;
Date:	25 Oct 2004
Subject:	Algebraic Geometry; Rings and Algebras MSC-class: 16K20;16K50;14F22 \| math.AG math.RA
Abstract:	Let k be an algebraically closed field of characteristic 0. We prove that any division algebra over k(x,y) whose ramification locus lies on a quartic curve is cyclic.
Source:	arXiv, math.AG/0410524
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