Division algebras that ramify only on a plane quartic curve

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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.
9 pages

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Algebraic Geometry, Rings and Algebras, 16K20;16K50;14F22

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http://salesiana.dossiersoluciones.com/handle/123456789/145201

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410524
 http://arxiv.org/abs/math/0410524
 Proc. Amer. Math. Soc. 134 (2006), 921-929

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arXiv