Standard

Isomonodromic tau function on the space of admissible covers. / Kokotov, A.; Korotkin, D.; Zograf, P.

In: Advances in Mathematics, Vol. 227, No. 1, 01.05.2011, p. 586-600.

Research output: Contribution to journal › Article › peer-review

Harvard

Kokotov, A, Korotkin, D & Zograf, P 2011, 'Isomonodromic tau function on the space of admissible covers', Advances in Mathematics, vol. 227, no. 1, pp. 586-600. https://doi.org/10.1016/j.aim.2011.02.005

APA

Kokotov, A., Korotkin, D., & Zograf, P. (2011). Isomonodromic tau function on the space of admissible covers. Advances in Mathematics, 227(1), 586-600. https://doi.org/10.1016/j.aim.2011.02.005

Vancouver

Kokotov A, Korotkin D, Zograf P. Isomonodromic tau function on the space of admissible covers. Advances in Mathematics. 2011 May 1;227(1):586-600. https://doi.org/10.1016/j.aim.2011.02.005

Author

Kokotov, A. ; Korotkin, D. ; Zograf, P. / Isomonodromic tau function on the space of admissible covers. In: Advances in Mathematics. 2011 ; Vol. 227, No. 1. pp. 586-600.

BibTeX

@article{7b43f600515b49899168672058420c2b,
title = "Isomonodromic tau function on the space of admissible covers",
abstract = "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. {\textcopyright} 2011 Elsevier Inc.",
keywords = "Admissible covers, Hodge class, Hurwitz space, Tau function",
author = "A. Kokotov and D. Korotkin and P. Zograf",
year = "2011",
month = may,
day = "1",
doi = "10.1016/j.aim.2011.02.005",
language = "English",
volume = "227",
pages = "586--600",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Isomonodromic tau function on the space of admissible covers

AU - Kokotov, A.

AU - Korotkin, D.

AU - Zograf, P.

PY - 2011/5/1

Y1 - 2011/5/1

N2 - 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. © 2011 Elsevier Inc.

AB - 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. © 2011 Elsevier Inc.

KW - Admissible covers

KW - Hodge class

KW - Hurwitz space

KW - Tau function

UR - http://www.scopus.com/inward/record.url?scp=79952704887&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2011.02.005

DO - 10.1016/j.aim.2011.02.005

M3 - Article

AN - SCOPUS:79952704887

VL - 227

SP - 586

EP - 600

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

IS - 1

ER -

ID: 127186144