The Weil reciprocity law asserts that, given two meromorphic functions f, g on a compact complex curve, the product of the values of f over the roots and poles of g is equal to the product of the values of g over the roots and poles of f. We state and prove a tropical version of this reciprocity; the tropical ideas lead to yet another transparent “combinatorial” proof of the classical Weil reciprocity law. Then, we construct a tropical Weil pairing on the set of divisors of degree zero.
Original languageEnglish
Number of pages7
JournalJournal of Mathematical Sciences (Series A)
DOIs
StateE-pub ahead of print - 14 Jun 2025

    Research areas

  • Tropical curve, Weil’s pairing, Weil’s reciprocity law

    Scopus subject areas

  • Geometry and Topology

ID: 140464870