论文标题

级别捆绑包的全部特殊集合 - 两位线性git标记

Full exceptional collections of vector bundles on rank-two linear GIT quotients

论文作者

Halpern-Leistner, Daniel, Kemboi, Kimoi

论文摘要

我们生成了由矢量捆绑包组成的完整强大的特殊集合,这些载体捆绑包的几何不变理论商的某些线性动作的某些线性动作的商品商的某些线性动作的排名$ g $是第二等级的$ g $。矢量束对应于不可约$ g $的代表,其权重位于$ g $的重量空间中的明确有限区域。我们还描述了一种构建更多线性git商的示例,其中包含完整的此类Quiver品种的示例。

We produce full strong exceptional collections consisting of vector bundles on the geometric invariant theory quotient of certain linear actions of a split reductive group $G$ of rank two. The vector bundles correspond to irreducible $G$-representations whose weights lie in an explicit bounded region in the weight space of $G$. We also describe a method for constructing more examples of linear GIT quotients with full strong exceptional collections of this kind as "decorated" quiver varieties.

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