论文标题
理查森品种的标准单元理论和谱系变种的曲折变性和国旗品种
Standard monomial theory and toric degenerations of Richardson varieties inside Grassmannians and flag varieties
论文作者
论文摘要
我们研究舒伯特对面和理查森品种的复曲面变性，内部的变性和国旗品种的变性。这些变性是通过Sturmfels和Zelevinsky的匹配场来参数化的。我们构建了所谓的限制匹配场理想，其生成集是通过Tableaux理解的。我们确定这些理想何时是曲折的，并使用理查森品种的gröbner变性，使用了良好的格拉斯曼尼亚人和国旗品种的标准单元理论。
We study toric degenerations of opposite Schubert and Richardson varieties inside degenerations of Grassmannians and flag varieties. These degenerations are parametrized by matching fields in the sense of Sturmfels and Zelevinsky. We construct so-called restricted matching field ideals whose generating sets are understood combinatorially through tableaux. We determine when these ideals are toric and coincide with Gröbner degenerations of Richardson varieties using the well established standard monomial theory for Grassmannians and flag varieties.
