论文标题
沿着复杂生成的三角剖分类别的回忆录粘合锡物对象
Gluing silting objects along recollements of well generated triangulated categories
论文作者
论文摘要
我们提供了一个明确的过程，可以沿着三角形类别的回忆（不一定是紧凑的）锡对象，其中具有“不错的”发电机组的相关类别，即，生成良好的三角形类别。该过程与胶合式结构兼容，它概括了刘，维特里亚（Vitória）和杨（Yang）的结果。我们为限制倾斜物体以及淤积和倾斜模块的程序提供条件。作为应用，我们检索了Kronecker代数上的淤泥模块的分类以及在加权的非交通式常规投射曲线上的非紧凑式倾斜滑轮的分类。
We provide an explicit procedure to glue (not necessarily compact) silting objects along recollements of triangulated categories with coproducts having a 'nice' set of generators, namely, well generated triangulated categories. This procedure is compatible with gluing co-t-structures and it generalizes a result by Liu, Vitória and Yang. We provide conditions for our procedure to restrict to tilting objects and to silting and tilting modules. As applications, we retrieve the classification of silting modules over the Kronecker algebra and the classification of non-compact tilting sheaves over a weighted noncommutative regular projective curve of genus 0.
