论文标题
符合符号线性商奇异性的分类，承认符号分辨率
Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution
论文作者
论文摘要
在过去的二十年中，在符号线性商人的分类上取得了很大的进步，v/g承认奇异性的符号（等效，毛虫）的分辨率。分类几乎是完整的，但是在维度4中有一系列无限的组 - 符合性原始但复杂的群体 - 和10个典型组，直至维度10，它仍然是开放的。在本文中，我们处理其余的无限序列，并证明除了39例外，没有符号分辨率。因此，我们将分类问题减少到有限的许多开放案例。此外，我们证明了一个特殊组的符号分辨率不存在，总共留下39+9 = 48个开放式案例。我们不希望其他任何案件都承认有符合性解决方案。
Over the past two decades, there has been much progress on the classification of symplectic linear quotient singularities V/G admitting a symplectic (equivalently, crepant) resolution of singularities. The classification is almost complete but there is an infinite series of groups in dimension 4 - the symplectically primitive but complex imprimitive groups - and 10 exceptional groups up to dimension 10, for which it is still open. In this paper, we treat the remaining infinite series and prove that for all but possibly 39 cases there is no symplectic resolution. We thereby reduce the classification problem to finitely many open cases. We furthermore prove non-existence of a symplectic resolution for one exceptional group, leaving 39+9=48 open cases in total. We do not expect any of the remaining cases to admit a symplectic resolution.
