Abstract
We calculate the dimensions of the intersections of maximal subspaces of zeros of a nonsingular pair of quadratic forms. We then count the number of sets of distinct such subspaces that intersect in a given dimension.
| Original language | English |
|---|---|
| Pages (from-to) | 157-165 |
| Number of pages | 9 |
| Journal | Annals of Combinatorics |
| Volume | 22 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1 2018 |
Bibliographical note
Publisher Copyright:© 2018, Springer International Publishing AG, part of Springer Nature.
Funding
Acknowledgments. The second author was supported in part by an IDA award sponsored by the New York State/United University Professions Joint Labor-Management Committees.
| Funders | Funder number |
|---|---|
| New York State/United University Professions Joint Labor-Management Committees |
Keywords
- intersections of linear subspaces
- nonsingular varieties
- pairs of quadratic forms
- quadratic forms
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics