Artin group actions on derived categories of threefolds
Artin group actions on derived categories of threefolds
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Artin 对三重派生类别的集体行动
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
Balázs Szendrői
中科院分区：
文献类型：
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作者：
Balázs Szendrői
受物理文献中增强的规范对称现象和镜面对称的启发，本文构建了 Artin 群对光滑准射影三重相干滑轮派生范畴的作用，其中包含由有限型 Dynkin 图描述的直纹面配置。该作用通过相应反射群在其变形空间基础上的兼容作用延伸到三重变形上。所有有限类型 Dynkin 图均已实现。
Motivated by the enhanced gauge symmetry phenomenon of the physics literature and mirror symmetry, this paper constructs an action of an Artin group on the derived category of coherent sheaves of a smooth quasiprojective threefold containing a configuration of ruled surfaces described by a finite type Dynkin diagram. The action ex- tends over deformations of the threefold via a compatible action of the corresponding re- flection group on the base of its deformation space. All finite type Dynkin diagrams are realized.