A Quadratically Enriched Correspondence Theorem

Author:

Andrés Jaramillo Puentes, Sabrina Pauli

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Algebraic Topology (math.AT)

journal:

date:

2023-09-20 16:00:00

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.

PDF: A Quadratically Enriched Correspondence Theorem.pdf