Flexibility of Schubert classes

被引：8

作者：

Coskun, Izzet ^{[1
]}

Robles, Colleen ^{[2
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2013年 / 31卷 / 06期

基金：

美国国家科学基金会;

关键词：

Schubert class; Cominuscule variety; Rational homogeneous variety; HERMITIAN SYMMETRIC-SPACES; PROJECTIVE GEOMETRY; VARIETIES; RIGIDITY;

D O I：

10.1016/j.difgeo.2013.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we discuss the flexibility of Schubert classes in homogeneous varieties. We give several constructions for representing multiples of a Schubert class by irreducible subvarieties. We sharpen [22, Theorem 3.1] by proving that every positive multiple of an obstructed class in a cominuscule homogeneous variety can be represented by an irreducible subvariety. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：759 / 774

页数：16

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