发表机构
National Research University Higher School of Economics(国立研究高等经济学院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文证明任意含单位交换环上洛朗级数环的连续不变双线性配对,在相差常数下等同于微分形式留数配对。
AI 中文摘要
我们证明,在任意含单位元的交换结合环上,洛朗级数环上连续且对连续自同构不变的$A$-双线性配对,在相差一个常数的意义下,等同于由微分形式的留数给出的配对。
英文摘要
We prove that continuous $A$-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity.