只在平面四次曲线上分歧Division algebras
Division algebras that ramify only on a plane quartic curve
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.
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