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arXiv:1703.04475 [math.AG]AbstractReferencesReviewsResources

Existence of nontrivial logarithmic co-Higgs structure on curves

Edoardo Ballico, Sukmoon Huh

Published 2017-03-13Version 1

We study various aspects on nontrivial logarithmic co-Higgs structure associated to unstable bundles on algebraic curves. We check several criteria for (non-)existence of nontrivial logarithmic co-Higgs structures and describe their parameter spaces. We also investigate the Segre invariants of these structures and see their non-simplicity. In the end we also study the higher dimensional case, specially when the tangent bundle is not semistable.

Comments: 22 pages; Comments welcome
Categories: math.AG
Subjects: 14H60, 14D20, 14J60, 53D18
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