A correspondence theorem equates quadratically enriched algebraic curve counts with conjugate point conditions to tropical counts with double point conditions, and a floor diagram algorithm computes them.
A Quadratically Enriched Correspondence Theorem
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Quadratically Enriched Plane Curve Counting via Tropical Geometry
A correspondence theorem equates quadratically enriched algebraic curve counts with conjugate point conditions to tropical counts with double point conditions, and a floor diagram algorithm computes them.