Publication Date
2002
Journal or Book Title
Michigan Mathematical Journal
Abstract
We give a characteristic-free proof that general codimension-1 Schubert varieties meet transversally in a Grassmannian and in some related varieties. Thus the corresponding intersection numbers are enumerative in all characteristics. Existing transversality results do not apply to these enumerative problems, emphasizing the need for additional theoretical work on transversality. We also strengthen some results in enumerative real algebraic geometry.
Pages
651-666
Volume
51
Issue
3
Recommended Citation
Sottile, Frank, "Elementary Transversailty in the Schubert Calculus in any Characteristic" (2002). Michigan Mathematical Journal. 122.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/122
Comments
This is a pre-published version harvested from ArXiv.org. The published version can be found at http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.mmj/1070919565