论文标题
HN长度束的不稳定束的模量，内态固定代数
Moduli of unstable bundles of HN-length two with fixed algebra of endomorphisms
论文作者
论文摘要
令x为g> 1属的平滑不可还原的复合射击曲线。在本文中，我们为不稳定的HN-Lenght 2束提供了必要和足够的条件，以具有特定的内态代数。然后，固定内态代数的维度，我们获得了模量方案的分层，使每个层是一个粗大的模量空间。一个特殊的感兴趣的情况是，当不稳定的捆绑包很简单时。在这种情况下，模量空间很好。描述了这些模量空间的拓扑特性，并取决于曲线X的通用性。这种结果与稳定束的模量空间的相应结果有所不同，在该模量空间中，非空，尺寸等与曲线无关。
Let X be a smooth irreducible complex projective curve of genus g > 1. In this paper, we give necessary and sufficient conditions for an unstable bundle of HN-lenght 2 to have a particular algebra of endomorphisms. Then, fixing the dimension of the algebra of endomorphisms we obtain a stratification of the moduli scheme such that each strata is a coarse moduli space. A particular case of interest is when the unstable bundles are simple. In that case the moduli space is fine. Topological properties of those moduli spaces are described and will depend on the generality of the curve X. Such results differ from the corresponding results for the moduli space of stable bundles, where non-emptiness, dimension etc. are independent of the curve.
