## Journal of Mathematics of Kyoto University

### Thin Schubert cells of codimension two

Shinsuke Odagiri

#### Abstract

A condition on a matroid of rank $n-2$ for the corresponding thin Schubert cell being nonempty is determined. A necessary and sufficient condition for $k$ and $n$ so that the closure of a thin Schubert cell in $G(k,n)$ is always a union of thin Schubert cells is given.

#### Article information

Source
J. Math. Kyoto Univ., Volume 48, Number 2 (2008), 265-275.

Dates
First available in Project Euclid: 14 August 2009

https://projecteuclid.org/euclid.kjm/1250271412

Digital Object Identifier
doi:10.1215/kjm/1250271412

Mathematical Reviews number (MathSciNet)
MR2436737

Zentralblatt MATH identifier
1206.14073

#### Citation

Odagiri, Shinsuke. Thin Schubert cells of codimension two. J. Math. Kyoto Univ. 48 (2008), no. 2, 265--275. doi:10.1215/kjm/1250271412. https://projecteuclid.org/euclid.kjm/1250271412