Symmetry, Integrability and Geometry: Methods and Applications Quiver Varieties and Branching ⋆
Symmetry, Integrability and Geometry: Methods and Applications Quiver Varieties and Branching ⋆
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对称性、可积性和几何：方法和应用箭袋品种和分支⋆
DOI：
10.1007/s40879-018-0222-4
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发表时间：
1971
影响因子：
1.8
通讯作者：
C. Metaxotou
中科院分区：
文献类型：
--
作者：
L. Florentin;Chrysanthy Bili;K. Kekou;N. Tripodis;A. Mavrou;C. Metaxotou
研究了轨道曲面和奇异商曲面上点的Hilbert格式的几何和拓扑，其中是A型或D型有限子群。我们给一个分解的（等变）希尔伯特计划的orbifold到仿射空间地层索引由一定的组合集，一套年轻的墙壁。A型或D型奇异曲面的点的Hilbert格式的欧拉特征的生成级数是根据一个包含相应仿射李代数的基本表示的一个专门特征的显式公式计算的;我们猜想在E型中也有同样的结果。我们的结果与A型的已知结果是一致的，而对D型则是新的.
We study the geometry and topology of Hilbert schemes of points on the orbifold surface, respectively the singular quotient surface, where is a finite subgroup of type A or D. We give a decomposition of the (equivariant) Hilbert scheme of the orbifold into affine space strata indexed by a certain combinatorial set, the set of Young walls. The generating series of Euler characteristics of Hilbert schemes of points of the singular surface of type A or D is computed in terms of an explicit formula involving a specialized character of the basic representation of the corresponding affine Lie algebra; we conjecture that the same result holds also in type E. Our results are consistent with known results in type A, and are new for type D.