1 citations · 1 across the 9 of their papers we have counts for
18 papers
Stability and disconnected groups
Andres Fernandez Herrero, Andrés Ibáñez Núñez
We study the notion of semistability for principal bundles over curves with possibly disconnected reductive structure group. We establish a new characterization of the behavior of…
Hitchin fibrations are Ngô fibrations
Mark Andrea de Cataldo, Roberto Fringuelli, Andres Fernandez Herrero +1
We study the geometry of the Hitchin fibration for -valued -Higgs bundles over a smooth projective curve of genus , where is a reductive group and $\mathcal{…
The meromorphic Hitchin fibration over stable pointed curves: moduli spaces
Ron Donagi, Andres Fernandez Herrero
We construct a universal partial compactification of the relative moduli space of semistable meromorphic Higgs bundles over the stack of stable pointed curves. It parametrizes mero…
Topology of -actions and applications to the moduli of Higgs bundles
Andres Fernandez Herrero, Siqing Zhang
We explain some results concerning the topology of varieties and stacks equipped with an action of the multiplicative group . We apply these techniques to the moduli…
Moduli of elliptic surfaces of Kodaira dimension one fibered over rational curves
Dori Bejleri, Josiah Foster, Andres Fernandez Herrero +3
In this article, we construct an infinite sequence of irreducible components of Kollár--Shepherd-Barron (KSB-) moduli spaces of surfaces of arbitrarily large volumes, and describe…
Semistable Non Abelian Hodge theorem in positive characteristic
Andres Fernandez Herrero, Siqing Zhang
In this paper, we show that for any reductive group the moduli space of semistable -Higgs bundles on a curve in characteristic is a twisted form of the moduli space of s…