曲线上非平凡对数co-Higgs结构的存在性
Existence of nontrivial logarithmic co-Higgs structure on curves
摘要：
我们研究了代数曲线上不稳定束的非平凡对数co-Higgs结构的各个方面。我们检查了非平凡对数共希格斯结构（不）存在的几个准则，并描述了它们的参数空间。我们还调查了这些结构的塞格雷不变量，并看到他们的非简单性。最后，我们还研究了高维情形，特别是当切丛不是半稳定时。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
