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arXiv 0709.3953math.AGmath.CO
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热带M_{0,n}上的相交ψ类

Intersecting Psi-classes on tropical M_{0,n}

Michael Kerber, Hannah Markwig

摘要:

我们应用L. Allermann和J. Rau在有理热带曲线的模空间上计算热带Psi类的交积。证明了在零维(稳定)相交的情况下,所得的数与代数几何中计算的n-标记有理曲线模空间上的Psi类的相交数一致.

英文摘要:

We apply the tropical intersection theory developed by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical curves. We show that in the case of zero-dimensional (stable) intersections, the resulting numbers agree with the intersection numbers of Psi-classes on the moduli space of n-marked rational curves computed in algebraic geometry.

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