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arXiv math/0410524math.AGmath.RA
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只在平面四次曲线上分歧Division algebras

Division algebras that ramify only on a plane quartic curve

Boris E. Kunyavskii, Louis H. Rowen, Sergey V. Tikhonov, Vyacheslav I. Yanchevskii

摘要:

设k是特征为0的代数闭域。证明了k(x,y)上任何分歧轨迹位于四次曲线上的除代数都是循环的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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