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arXiv · 2208.10554

On a conjecture about Higgs bundles for rank 2 and some inequalities

Ugo Bruzzo·Beatriz Graña Otero·Daniel Hernández Ruipérez
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Abstract

We briefly review an open conjecture about Higgs bundles that are semistable with after pulling back to any curve, and prove it in the rank 2 case. We also prove a set of inequalities holding for H-nef Higgs bundles that generalize some of the Fulton-Lazarsfeld inequalities for numerically effective vector bundles.

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Ugo Bruzzo, Beatriz Graña Otero, Daniel Hernández Ruipérez. 2022-08-22. On a conjecture about Higgs bundles for rank 2 and some inequalities. https://arxiv.org/abs/2208.10554

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