论文标题
完全负面颤抖的矩图的理性概念
Rational singularities for moment maps of totally negative quivers
论文作者
论文摘要
我们证明，完全负颤抖的矩图的零纤维具有合理的概念。我们的证明包括在该纤维的喷射空间上概括尺寸范围，该纤维是由Budur引入的。我们还根据戴维森（Davison）的最新工作，我们还将合理的颗粒属性转移到了2-卡拉比YAU类别中的其他模量空间。这在2-Calabi-yau类别的对象的颤抖矩图和模量空间上具有有趣的算术应用。首先，我们将WYSS的结果推广到有限场上箭量矩图的渐近行为。此外，我们将喷气机在给定模量空间上的计数的极限解释为其在典型的措施下，类似于Carocci，Orecchia和Wyss在某些相干滑轮的模量空间上建立的度量。
We prove that the zero-fiber of the moment map of a totally negative quiver has rational singularities. Our proof consists in generalizing dimension bounds on jet spaces of this fiber, which were introduced by Budur. We also transfer the rational singularities property to other moduli spaces of objects in 2-Calabi-Yau categories, based on recent work of Davison. This has interesting arithmetic applications on quiver moment maps and moduli spaces of objects in 2-Calabi-Yau categories. First, we generalize results of Wyss on the asymptotic behaviour of counts of jets of quiver moment maps over finite fields. Moreover, we interpret the limit of counts of jets on a given moduli space as its p-adic volume under a canonical measure analogous to the measure built by Carocci, Orecchia and Wyss on certain moduli spaces of coherent sheaves.
