论文标题

git的变化和拉格朗日骨骼的变化I:flip和flop

Variation of GIT and Variation of Lagrangian Skeletons I: Flip and Flop

论文作者

Zhou, Peng

论文摘要

复的多样性的相干结构通信分配给每个$ n $二维的复式折叠品种$x_σ$ a lagrangian骨架$λ_σ\ subset t^*t^n $,使得连贯的吊羊$ coh(x__σ)$的派生类别与(包含)$ sheaves $ sheaeves $ sheaves $ sheaves $ sheaves $ sheaves $ sheaves $ sheaves $在本文中,我们扩展了此对应关系,以使圆环品种之间的翻转和触摸对应于拉格朗日骨骼的变化。主要思想是将git的变体中的窗口子类别转换为窗口骨架。

Coherent-Constructible Correspondence for toric variety assigns to each $n$-dimensional toric variety $X_Σ$ a Lagrangian skeleton $Λ_Σ\subset T^*T^n$, such that the derived category of coherent sheaves $Coh(X_Σ)$ is equivalent to the (wrapped) constructible sheaves $Sh^w(T^n, Λ_Σ)$. In this paper, we extend this correspondence, so that flip and flop between toric varieties corresponds to variation of Lagrangian skeletons. The main idea is to translate window subcategory in variation of GIT to a window skeleton.

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