论文标题
Gushel-Mukai品种
Gushel-Mukai varieties
论文作者
论文摘要
Gushel-mukai品种是圆锥体的平滑尺寸尺寸横向交叉点，上面是Grassmannian $ \ Mathsf {gr}（2,5）$，带有线性空间和二次超曲面。该调查的目的是讨论这些品种的几何形状，模量，霍奇结构和分类方面。它是基于与亚历山大·库兹尼托夫（Alexander Kuznetsov）的联合合作，以及洛克乔夫（Logachev），伊利夫（Iliev），马力尼维尔（Manivel），奥格雷迪（O'Grady）等的早期工作。
Gushel-Mukai varieties are smooth complex dimensionally transverse intersections of a cone over the Grassmannian $\mathsf{Gr}(2,5)$ with a linear space and a quadratic hypersurface. The aim of this survey is to discuss the geometry, moduli, Hodge structures, and categorical aspects of these varieties. It is based on joint work with Alexander Kuznetsov and earlier work of Logachev, Iliev, Manivel, O'Grady, and others.
