کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4647317 | 1342340 | 2015 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On hyperovals of polar Grassmannians
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
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چکیده انگلیسی
A hyperoval of a point-line geometry is a nonempty set of points meeting each line in either 0 or 2 points. In this paper, we study hyperovals in line Grassmannians of finite polar spaces of rank 3, hereby often imposing some extra regularity conditions. We determine an upper bound and two lower bounds for the size of such a hyperoval. If equality occurs in one of these bounds, then there is an associated interesting point set of the polar space, like a tight set, an m-ovoid or a set of points having two possible intersection sizes with generators. With the aid of a computer, we have determined all hyperovals of the line Grassmannians of Q+(5,2), Q(6,2) and Qâ(7,2). Several of the bounds we have found are actually tight for these geometries.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 338, Issue 4, 6 April 2015, Pages 645-654
Journal: Discrete Mathematics - Volume 338, Issue 4, 6 April 2015, Pages 645-654
نویسندگان
Bart De Bruyn,