Lower Bounds in Real Schubert Calculus Institutional Repository Document uri icon

abstract

  • We describe a large-scale computational experiment to study structure in the numbers of real solutions to osculating instances of Schubert problems. This investigation uncovered Schubert problems whose computed numbers of real solutions variously exhibit nontrivial upper bounds, lower bounds, gaps, and a congruence modulo four. We present a family of Schubert problems, one in each Grassmannian, and prove their osculating instances have the observed lower bounds and gaps.

author list (cited authors)

  • Hein, N., Hillar, C. J., & Sottile, F.

citation count

  • 0

complete list of authors

  • Hein, Nickolas||Hillar, Christopher J||Sottile, Frank

Book Title

  • arXiv

publication date

  • August 2013