𝔖 Bobbio Scriptorium
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Ovals and Hyperovals in Desarguesian Nets

✍ Scribed by David A. Drake; Kevin Keating


Book ID
111579063
Publisher
Springer
Year
2004
Tongue
English
Weight
170 KB
Volume
31
Category
Article
ISSN
0925-1022

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πŸ“œ SIMILAR VOLUMES


Ovals in Translation Hyperovals and Ovoi
✍ Christine M. O'Keefe; Tim Penttila πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 399 KB

Let ᏻ be an ovoid of PG(3 , q ) , q even , such that each secant plane section is an oval contained in a translation hyperoval . Then ᏻ is shown to be either an elliptic quadric or a Tits ovoid .

Hyperovals in nets of small degree
✍ David A. Drake πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 129 KB

## Abstract The existence of an __r__‐net of order __n__ with a hyperoval is proved for __r__ = 5 when __n__ β‰₯ 63; for __r__ = 7 when __n__ β‰₯ 84; for __r__ = 9 when __n__ β‰₯ 59,573 and for __r__ = 15 when __n__ β‰₯ 1, 873,273. Β© 2002 Wiley Periodicals, Inc. J Combin Designs 10: 322–334, 2002; Publishe