论文标题
在男性岩石恢复中的墙壁交叉的重量截断
Weight truncation for wall-crossings in birational cobordisms
论文作者
论文摘要
我们在生物率的隔离式缝隙中发展了体重截断的技术，该技术与[HL15，BFK19]中的隔离式截断技术。更确切地说，对于每种这样的墙壁交叉，我们嵌入了上述衍生的类别，可半正交的部分的相干部分的相干滑轮类别作为所讨论的堆栈的半正交汇总。我们的结构不需要任何平滑度的假设，并且在墙壁交叉的两侧表现出强烈的对称性。作为一种应用，我们表明，对于满足适当规律性条件的墙壁交叉，一定的二元性二元性意味着在墙壁交叉下的派生类别之间存在完全忠实的函数/等效性。
We develop the technique of weight truncation in the context of wall-crossings in birational cobordisms, parallel to that in [HL15, BFK19]. More precisely, for each such wall-crossing, we embed the bounded above derived category of coherent sheaves of the semistable part as a semi-orthogonal summand of that of the stack in question. Our construction does not require any smoothness assumptions, and exhibits a strong symmetry across the two sides of the wall-crossing. As an application, we show that for wall-crossings satisfying suitable regularity conditions, a certain duality of local cohomology complexes implies the existence of a fully faithful functor/equivalence between the derived categories under wall-crossings.
