We briefly review an open conjecture about Higgs bundles that are semistable after pulling back to any curve, and prove it in the rank 2 case. We also prove some results in higher rank under suitable additional assumptions. Moreover, we establish a set of inequalities holding for H-nef Higgs bundles that generalize some of the Fulton–Lazarsfeld inequalities for numerically effective vector bundles.
CITATION STYLE
Bruzzo, U., Graña Otero, B., & Hernández Ruipérez, D. (2023). On a Conjecture About Higgs Bundles and Some Inequalities. Mediterranean Journal of Mathematics, 20(6). https://doi.org/10.1007/s00009-023-02494-z
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