Mathematics – Algebraic Geometry
Scientific paper
2009-12-19
Advances in Mathematics, Volume 227, Issue 1, 1 May 2011, Pages 586-600
Mathematics
Algebraic Geometry
a few misprints corrected, journal reference added
Scientific paper
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.
Kokotov Alexey
Korotkin Dmitrii
Zograf Peter
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