Publication Date
2005
Journal or Book Title
Proceedings of the American Mathematical Society
Abstract
Let dk,n and #k,n denote the dimension and the degree of the Grassmannian Gk,n, respectively. For each 1 ≤ k ≤ n−2 there are 2dk,n ·#k,n (a priori complex) k-planes in Pn tangent to dk,n general quadratic hypersurfaces in Pn. We show that this class of enumerative problems is fully real, i.e., for 1 ≤ k ≤ n − 2 there exists a configuration of dk,n real quadrics in (affine) real space Rn so that all the mutually tangent k-flats are real.
Pages
2835-2844
Volume
133
Issue
10
Recommended Citation
Sottile, Frank and Theobald, Thorsten, "Real k-Flats Tangent to Quadrants in R^n" (2005). Proceedings of the American Mathematical Society. 129.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/129
Comments
This is a pre-published version harvested from ArXiv.org. The published version can be found at http://www.ams.org/journals/proc/2005-133-10/home.html