论文标题

在任意维度中的理性热带曲线的精制计数

Refined count for rational tropical curves in arbitrary dimension

论文作者

Blomme, Thomas

论文摘要

在本文中,我们在任意维度中引入了一种用于理性热带曲线的精致多样性,该曲线概括了F. block和L.Göttsche在Arxiv中引入的精制多重性:1407.2901。然后,我们使用这种新的精制多重性证明了几个列举问题中有理热带曲线计数的不变性语句。这导致了在任何维度上的多项式的定义。

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. Göttsche 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-Göttsche polynomials in any dimension.

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