论文标题
匹配场tableaux的标准单元理论和舒伯特品种的曲折变性
Standard monomial theory and toric degenerations of Schubert varieties from matching field tableaux
论文作者
论文摘要
我们研究国旗品种内部舒伯特品种的Gröbner变性。我们考虑匹配场和半标准的年轻tableaux引起的旗帜变种的复曲面变性。我们描述了标志品种中舒伯特品种的匹配领域理想的类似物，并在其中完整地表征了紫红色的理想。我们使用一种组合方法来进行标准单次理论，以表明嵌段对角线匹配场会产生复曲面的变性。我们的方法和结果使用了与Schubert品种，匹配场及其相应的Tableaux相关的排列组合。
We study Gröbner degenerations of Schubert varieties inside flag varieties. We consider toric degenerations of flag varieties induced by matching fields and semi-standard Young tableaux. We describe an analogue of matching field ideals for Schubert varieties inside the flag variety and give a complete characterization of toric ideals among them. We use a combinatorial approach to standard monomial theory to show that block diagonal matching fields give rise to toric degenerations. Our methods and results use the combinatorics of permutations associated to Schubert varieties, matching fields and their corresponding tableaux.
