论文标题
Lagrangian Grassmannians的完整符号四边形和Kontsevich锥形空间
Complete symplectic quadrics and Kontsevich spaces of conics in Lagrangian Grassmannians
论文作者
论文摘要
在半简单和简单连接的组的作用下，轨道对轨道的奇妙压实是一种光滑的投射品种，其中包含轨道作为密集的开放子集，而添加的边界除数是简单的正常交叉。我们构建了对称和符号矩阵空间的奇妙压实，并研究其几何形状。作为一种应用，我们描述了拉格朗日格拉曼尼亚人的kontsevich空间参数化圆锥的生育几何形状。
A wonderful compactification of an orbit under the action of a semi-simple and simply connected group is a smooth projective variety containing the orbit as a dense open subset, and where the added boundary divisor is simple normal crossing. We construct the wonderful compactification of the space of symmetric and symplectic matrices, and investigate its geometry. As an application, we describe the birational geometry of the Kontsevich spaces parametrizing conics in Lagrangian Grassmannians.
