The Special Schubert Calculus Is Real

  title={The Special Schubert Calculus Is Real},
  author={Frank Sottile},
We show that the Schubert calculus of enumerative geometry is real, for special Schubert conditions. That is, for any such enumerative problem, there exist real conditions for which all the a priori complex solutions are real. Fulton asked how many solutions to a problem of enumerative geometry can be real, when that problem is one of counting geometric figures of some kind having specified position with respect to some general fixed figures [5]. For the problem of plane conics tangent to five… CONTINUE READING
Highly Cited
This paper has 45 citations. REVIEW CITATIONS