Division algebras that ramify only on a plane quartic curve
Boris E. Kunyavskii, Louis H. Rowen, Sergey V. Tikhonov, Vyacheslav I. Yanchevskii
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.
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