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