Refined count for rational tropical curves in arbitrary dimension
Thomas Blomme · Mathematische Annalen · 2021
Abstract In this paper we introduce a refined multiplicity for rational tropical curves in arbitrary dimension, which generalizes the refined multiplicity introduced by Block and Göttsche (Compositio Mathematica 152(1): 115–151, 2016). We then prove an invariance statement for the count of rational tropical curves in several enumerative problems using this new refined multiplicity. This leads to the definition of Block–Göttsche polynomials in any dimension.