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arXiv · 1609.03733

Logarithmic co-Higgs bundles

Edoardo Ballico·Sukmoon Huh
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Abstract

In this article we introduce a notion of logarithmic co-Higgs sheaves associated to a simple normal crossing divisor on a projective manifold, and show their existence with nilpotent co-Higgs fields for fixed ranks and second Chern classes. Then we deal with various moduli problems with logarithmic co-Higgs sheaves involved, such as coherent systems and holomorphic triples, specially over algebraic curves of low genus.

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Edoardo Ballico, Sukmoon Huh. 2016-09-13. Logarithmic co-Higgs bundles. https://arxiv.org/abs/1609.03733

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