Standard

Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers. / Zograf, Peter; Korotkin, Dmitry.

In: Journal of Mathematical Physics, Vol. 59, No. 9, 091412, 01.09.2018, p. 091412.

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

Harvard

Zograf, P & Korotkin, D 2018, 'Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers', Journal of Mathematical Physics, vol. 59, no. 9, 091412, pp. 091412. https://doi.org/10.1063/1.5038650

APA

Zograf, P., & Korotkin, D. (2018). Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers. Journal of Mathematical Physics, 59(9), 091412. [091412]. https://doi.org/10.1063/1.5038650

Vancouver

Zograf P, Korotkin D. Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers. Journal of Mathematical Physics. 2018 Sep 1;59(9):091412. 091412. https://doi.org/10.1063/1.5038650

Author

Zograf, Peter ; Korotkin, Dmitry. / Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers. In: Journal of Mathematical Physics. 2018 ; Vol. 59, No. 9. pp. 091412.

BibTeX

@article{86f004069db64248bcf87755a3f13671,
title = "Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin{\textquoteright}s spectral covers",
abstract = "We define two tau functions, τ and τ^, on moduli spaces of spectral covers of GL(n) Hitchin systems. Analyzing the properties of τ, we express the rational divisor class of the universal Hitchin's discriminant in terms of standard generators of the rational Picard group of the moduli spaces of spectral covers with variable base. The function τ^is used to compute the divisor of canonical 1-forms with multiple zeros.",
author = "Peter Zograf and Dmitry Korotkin",
note = "Funding Information: The authors thank Mikhail Basok for discussions. D.K. thanks Marco Bertola, Jacques Hurtubise, and Chaya Norton for useful comments. The work of D.K. was supported in part by the Natural Sciences and Engineering Research Council of Canada Grant No. RGPIN/3827-2015 and by the FQRNT Grant “Matrices Al{\'e}atoires, Processus Stochastiques et Syst{\`e}mes Int{\'e}grables” (No. 2013– PR–166790). The research of Sec. III was supported by the Russian Science Foundation Grant No. 14-21-00035.",
year = "2018",
month = sep,
day = "1",
doi = "10.1063/1.5038650",
language = "English",
volume = "59",
pages = "091412",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics",
number = "9",

}

RIS

TY - JOUR

T1 - Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers

AU - Zograf, Peter

AU - Korotkin, Dmitry

N1 - Funding Information: The authors thank Mikhail Basok for discussions. D.K. thanks Marco Bertola, Jacques Hurtubise, and Chaya Norton for useful comments. The work of D.K. was supported in part by the Natural Sciences and Engineering Research Council of Canada Grant No. RGPIN/3827-2015 and by the FQRNT Grant “Matrices Aléatoires, Processus Stochastiques et Systèmes Intégrables” (No. 2013– PR–166790). The research of Sec. III was supported by the Russian Science Foundation Grant No. 14-21-00035.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - We define two tau functions, τ and τ^, on moduli spaces of spectral covers of GL(n) Hitchin systems. Analyzing the properties of τ, we express the rational divisor class of the universal Hitchin's discriminant in terms of standard generators of the rational Picard group of the moduli spaces of spectral covers with variable base. The function τ^is used to compute the divisor of canonical 1-forms with multiple zeros.

AB - We define two tau functions, τ and τ^, on moduli spaces of spectral covers of GL(n) Hitchin systems. Analyzing the properties of τ, we express the rational divisor class of the universal Hitchin's discriminant in terms of standard generators of the rational Picard group of the moduli spaces of spectral covers with variable base. The function τ^is used to compute the divisor of canonical 1-forms with multiple zeros.

UR - http://www.scopus.com/inward/record.url?scp=85052956840&partnerID=8YFLogxK

U2 - 10.1063/1.5038650

DO - 10.1063/1.5038650

M3 - Article

VL - 59

SP - 091412

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 9

M1 - 091412

ER -

ID: 36104516