Decompositions of determinantal varieties

被引：0

作者：

Zhao X. ^{[1
]}

Gao H. ^{[1
]}

Su X. ^{[1
]}

机构：

[1] School of Mathematical Sciences, Beijing Normal University

来源：

Frontiers of Mathematics in China | 2007年 / 2卷 / 4期

基金：

中国国家自然科学基金;

关键词：

Determinantal varieties; Ehresmann partial order; Irreducible decomposition;

D O I：

10.1007/s11464-007-0038-x

中图分类号：

学科分类号：

摘要：

In this paper, we study the irreducible decompositions of determinantal varieties of matrices given by rank conditions on upper left submatrices. Using the concept of essential rank function and the Ehresmann partial order on the set of all simple matrices, we design an algorithm to write a determinantal variety as a union of its irreducible components. This solves a problem raised by B. Sturmfels. © 2007 Higher Education Press and Springer-Verlag.

引用

页码：623 / 637

页数：14

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