容许覆盖空间上的同构单值τ函数
Isomonodromic tau function on the space of admissible covers
摘要：
与Hurwitz空间上的Frobenius结构相关的Fuchsian微分方程的等单值τ函数可以看作是容许覆盖空间上的线丛的一部分。我们研究了τ函数在该空间边界附近的渐近行为，并计算了它的因子。这产生了一个明确的公式拉回的霍奇类的可容许覆盖的空间中的类紧因子。
英文摘要：
The isomonodromic tau function of the Fuchsian differential equations associated to Frobenius structures on Hurwitz spaces can be viewed as a section of a line bundle on the space of admissible covers. We study the asymptotic behavior of the tau function near the boundary of this space and compute its divisor. This yields an explicit formula for the pullback of the Hodge class to the space of admissible covers in terms of the classes of compactification divisors.
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