A Quadratically Enriched Correspondence Theorem
Algebraic Geometry
2024-04-16 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.2309.11706,
title = {A Quadratically Enriched Correspondence Theorem},
author = {Andrés Jaramillo Puentes and Sabrina Pauli},
journal= {arXiv preprint arXiv:2309.11706},
year = {2024}
}
Comments
44 pages, 13 figures; typos corrected, references added, figures updated