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arXiv · 2010.05777

Refined count for rational tropical curves in arbitrary dimension

Thomas Blomme
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Abstract

In this paper we introduce a refined multiplicity for rational tropical curves in arbitrary dimension, which generalizes the refined multiplicity introduced by F. Block and L. G\"ottsche in arXiv:1407.2901 . 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-G\"ottsche polynomials in any dimension.

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Thomas Blomme. 2020-10-12. Refined count for rational tropical curves in arbitrary dimension. https://arxiv.org/abs/2010.05777

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