A congruence modulo four in real Schubert calculus Academic Article uri icon

abstract

  • Abstract We establish a congruence modulo four in the real Schubert calculus on the Grassmannian of m-planes in 2 m $2m$ -space. This congruence holds for fibers of the Wronski map and a generalization to what we call symmetric Schubert problems. This strengthens the usual congruence modulo two for numbers of real solutions to geometric problems. It also gives examples of geometric problems given by fibers of a map whose topological degree is zero but where each fiber contains real points.

published proceedings

  • JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

author list (cited authors)

  • Hein, N., Sottile, F., & Zelenko, I.

citation count

  • 7

complete list of authors

  • Hein, Nickolas||Sottile, Frank||Zelenko, Igor

publication date

  • May 2016