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

Submission: 2004, Oct 25

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.

2000 Mathematics Subject Classification: 16K20; 16K50; 14F22

Keywords and Phrases: division algebra; ramification; Brauer group

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