English

Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells

Algebraic Geometry 2007-05-23 v1 Combinatorics

Abstract

We prove that the number of connected components in the intersection of two open opposite Schubert cells in the variety of complete real n-dimensional flags equals 3*2^{n-1} for n>5.

Keywords

Cite

@article{arxiv.math/9802093,
  title  = {Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells},
  author = {B. Shapiro and M. Shapiro and A. Vainshtein},
  journal= {arXiv preprint arXiv:math/9802093},
  year   = {2007}
}

Comments

24 pages, 7 figures, AMSTeX, submitted to IMRN