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A Quadratically Enriched Correspondence Theorem

2023/09/21 by Puentes, Andrés Jaramillo, Pauli, Sabrina
#14G27 (Secondary) #14N10 #14N35 (Primary) 14T25 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.11706

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.

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