Isomonodromic tau function on the space of admissible covers

Autor:	Kokotov, A., Korotkin, D., Zograf, P.
Rok vydání:	2009
Předmět:	Mathematics - Algebraic Geometry Mathematics - Complex Variables Nonlinear Sciences - Exactly Solvable and Integrable Systems 32G15 34M56
Zdroj:	Advances in Mathematics, Volume 227, Issue 1, 1 May 2011, Pages 586-600
Druh dokumentu:	Working Paper
Popis:	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. Comment: a few misprints corrected, journal reference added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0912.3909 Zobrazit plný text záznamu View this record from Arxiv