论文标题
hyperkähler品种的拉格朗日次数的模量理论方法：示例
A moduli theoretic approach to Lagrangian subvarieties of hyperkähler varieties: Examples
论文作者
论文摘要
我们提出了关于模量理论方法的两种猜想，以构建由kuznetsov组成的库兹内托夫（Kuznetsov）组件产生的hyperkähler品种的拉格朗日次体，或者是多立方四倍或大量穆凯（Mukai）的四倍。然后，我们在几种情况下验证猜想，恢复经典示例。作为推论，我们在几种情况下证实了奥格雷迪的猜想，以涵盖Hyperkähler品种的家庭。
We propose two conjectures on a moduli theoretic approach to constructing Lagrangian subvarieties of hyperkähler varieties arising from the Kuznetsov components of cubic fourfolds or Gushel--Mukai fourfolds. Then we verify the conjectures in several cases, recovering classical examples. As a corollary, we confirm a conjecture of O'Grady in several instances on the existence of Lagrangian covering families for hyperkähler varieties.
