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A quadratically enriched correspondence theorem

Year: 2025

Type: article

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.

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/1694

Authors: Andrés Jaramillo Puentes, Sabrina Pauli

Institutions: University of Tübingen, Technische Universität Darmstadt

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414208948

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