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Division algebras that ramify only on a plane quartic curve
Work
Year: 2005
Type: article
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: Proceedings of the American Mathematical Society
Authors Boris Kunyavskiı̆, Louis Rowen, Sergey V. Tikhonov, V. I. Yanchevskiĭ
Institutions Bar-Ilan University, National Academy of Sciences of Belarus, Institute of Mathematics
Cites: 14
Cited by: 5
Related to: 10
FWCI: 0.671
Citation percentile (by year/subfield): 49.64
Topic: Algebraic Geometry and Number Theory
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid