Variational formulas on spaces of SL(2) Hitchin's spectral covers
Mathematical Physics
2021-11-16 v2 High Energy Physics - Theory
Algebraic Geometry
math.MP
Abstract
Using the developed deformation theory on moduli spaces of quadratic differentials we derive variational formulas for objects associated with generalized Hitchin's spectral covers: Prym matrix, Prym bidifferential, Hodge and Prym tau-functions. The resulting formulas are antisymmetric versions of Donagi-Markman residue formula. The second variation of the Prym matrix is a natural analogy to the expression previously derived for the period matrix of the spectral cover.
Keywords
Cite
@article{arxiv.2108.12911,
title = {Variational formulas on spaces of SL(2) Hitchin's spectral covers},
author = {R. Klimov},
journal= {arXiv preprint arXiv:2108.12911},
year = {2021}
}
Comments
V2: 22 pages, some minor corrections