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Arakelov–Milnor inequalities and maximal variations of Hodge structure
In this paper we study the $\mathbb {C}^*$ -fixed points in moduli spaces of Higgs bundles over a compact Riemann surface for a complex semisimple Lie group and its real forms. These fixed points are called Hodge bundles and correspond to complex variations of Hodge structure. We introduce a topological …