Discriminant and Hodge classes on the space of Hitchin's covers
Algebraic Geometry
2020-07-15 v1 Mathematical Physics
math.MP
Abstract
We continue the study of the rational Picard group of the moduli space of Hitchin's spectral covers started in P. Zograf's and D. Korotkin's work [11]. In the first part of the paper we expand the ``boundary'', ``Maxwell stratum'' and ``caustic'' divisors introduced in [11] via the set of standard generators of the rational Picard group. This generalizes the result of [11], where the expansion of the full discriminant divisor (which is a linear combination of the classes mentioned above) was obtained. In the second part of the paper we derive a formula that relates two Hodge classes in the rational Picard group of the moduli space of Hitchin's spectral covers.
Keywords
Cite
@article{arxiv.1904.00489,
title = {Discriminant and Hodge classes on the space of Hitchin's covers},
author = {Mikhail Basok},
journal= {arXiv preprint arXiv:1904.00489},
year = {2020}
}