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A quadratically enriched correspondence theorem

  • Andrés Jaramillo Puentes

    Eberhard Karls Universität Tübingen, Germany
    ORCID

  • Sabrina Pauli

    Technische Universität Darmstadt, Germany
    ORCID
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Abstract

We quadratically enrich Mikhalkin’s correspondence theorem. That is, we prove a correspondence between algebraic curves on a toric surface counted with Levine’s quadratic enrichment of the Welschinger sign, and tropical curves counted with a quadratic enrichment of Mikhalkin’s multiplicity for tropical curves.

Cite this article

Andrés Jaramillo Puentes, Sabrina Pauli, A quadratically enriched correspondence theorem. J. Eur. Math. Soc. (2025), published online first

DOI 10.4171/JEMS/1694