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Refined count for rational tropical curves in arbitrary dimension

Refined count for rational tropical curves in arbitrary dimension

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 …