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arXiv · 1310.2099

Restricting Higgs bundles to curves

Ugo Bruzzo·Alessio Lo Giudice
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Abstract

We determine some classes of varieties X - that include the varieties with numerically effective tangent bundle - satisfying the following property: if E is a Higgs bundle such that f*E is semistable for any morphism f from a smooth projective curve to X, then E is slope semistable and the discriminant of E is zero in H4(X,R). We also characterize some classes of varieties such that the underlying vector bundle of a slope semistable Higgs bundle is always slope semistable.

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Ugo Bruzzo, Alessio Lo Giudice. 2013-10-08. Restricting Higgs bundles to curves. https://arxiv.org/abs/1310.2099

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