Division algebras that ramify only on a plane quartic curve

Details Division algebras that ramify only on a plane quartic curve Division algebras that ramify only on a plane quartic curve

2004-10-25

arxiv.org/abs/math/0410524v1

Proc. Amer. Math. Soc. 134 (2006), 921-929

Mathematics

Algebraic Geometry

9 pages

Scientific paper

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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