Assume that d ≥ 4. Then there exists a d-dimensional dual hyperoval in PG(d + n, 2) for d + 1 ≤ n ≤ 3d -7.
Characterizations of PG(n − 1, q)PG(k − 1, q) by Numerical and Polynomial Invariants
✍ Scribed by Rachelle M. Ankney; Joseph E. Bonin
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 122 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
✦ Synopsis
We show that the simple matroid PG n -1 q \PG k -1 q , for n ≥ 4 and 1 ≤ k ≤ n -2, is characterized by a variety of numerical and polynomial invariants. In particular, any matroid that has the same Tutte polynomial as PG n -
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