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math.AG2022★ 1 cited
Hitchin fibration under ramified coverings
Thiago Fassarella, Frank Loray
We are interested in studying the variation of the Hitchin fibration in moduli spaces of parabolic Higgs bundles, under the action of a ramified covering. Given a degree two map $π…
math.AG2022
Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification
Arata Komyo, Frank Loray, Masa-Hiko Saito
In this paper, we study rank 2 (quasi) parabolic bundles over the Riemann sphere with an effective divisor and these moduli spaces. First we consider a criterium when a parabolic b…