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摘要翻译：
给定曲线上具有可积连接的向量丛$(V，\nabla)$,如果$V$本身不是半可集的向量丛，则我们可以迭代一个包含不稳定子对象修改的构造，得到满足Griffiths横截性的类Hodge过滤$F^P$。与之相关的分级Higgs束是de Rham下Dolbeault变性下$(V，T\nabla)$的极限。我们得到了连接模空间的一个分层，其中最小层是OPER空间。地层具有纤维，其纤维是模空间的拉格朗日子空间。
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英文标题：
《Iterated destabilizing modifications for vector bundles with connection》
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作者：
Carlos T. Simpson (JAD)
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
Given a vector bundle with integrable connection $(V,\nabla)$ on a curve, if $V$ is not itself semistable as a vector bundle then we can iterate a construction involving modification by the destabilizing subobject to obtain a Hodge-like filtration $F^p$ which satisfies Griffiths transversality. The associated graded Higgs bundle is the limit of $(V,t\nabla)$ under the de Rham to Dolbeault degeneration. We get a stratification of the moduli space of connections, with as minimal stratum the space of opers. The strata have fibrations whose fibers are Lagrangian subspaces of the moduli space.
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PDF链接：
https://arxiv.org/pdf/0812.3472
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