论文标题
福利共同的搭配在感谢您的品种
Toric co-Higgs bundles on toric varieties
论文作者
论文摘要
从非词性复合物紫色的紫杉化品种的数据开始，我们定义了相关的曲曲co-higgs束的概念。我们通过研究Klyachko的风扇过滤与co-higgs束的纤维之间的相互作用来提供这些物体的谎言理论分类，该对象的相互作用是在圆环动作的开放轨道上的封闭点。在某些条件下，这可以解释为构建任何等级和任何均等的Chern类别的复曲面共同捆绑的粗制模量。
Starting from the data of a nonsingular complex projective toric variety, we define an associated notion of toric co-Higgs bundle. We provide a Lie-theoretic classification of these objects by studying the interaction between Klyachko's fan filtration and the fiber of the co-Higgs bundle at a closed point in the open orbit of the torus action. This can be interpreted, under certain conditions, as the construction of a coarse moduli scheme of toric co-Higgs bundles of any rank and with any total equivariant Chern class.
