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arXiv · 2609.06010

Pairings on the algebra of Laurent series over a ring

Vladislav Levashev
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Abstract

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.

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Vladislav Levashev. 2026-09-05. Pairings on the algebra of Laurent series over a ring. https://arxiv.org/abs/2609.06010

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