We develop a generalization of the Q-construction of the first author, Diemer, and the third author for Grassmann flips. This generalization provides a canonical idempotent kernel on the derived category of the associated global quotient stack. The idempotent kernel, after restriction, induces a semi-orthogonal decomposition which compares the flipped varieties. Furthermore its image, after restriction to the geometric invariant theory semistable locus, “opens” a canonical “window” in the derived category of the quotient stack. We check this window coincides with the set of representations used by Kapranov to form a full exceptional collection on Grassmannians.

我们为第一作者Diemer和第三作者Grassmann flips的Q结构进行了推广。这种概括在关联的全局商堆栈的派生类别上提供了规范的幂等内核。幂等的核在受到限制后会引起半正交分解，该分解将翻转的品种进行比较。此外，在局限于几何不变理论半稳定轨迹之后，其图像在商堆栈的派生类别中“打开”规范“窗口”。我们检查此窗口是否与Kapranov所使用的表示形式相吻合，以形成格拉斯曼主义者的完整特殊收藏。