Ovoids and monomial ovals

D.G. Glynn; C.M. O'Keefe; Tim Penttila; Cheryl Praeger

Ovoids and monomial ovals

D.G. Glynn, C.M. O'Keefe, Tim Penttila, Cheryl Praeger

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is a contribution to the classification of ovoids. We show, under some rather technical assumptions, that if an ovoid of PG(3, q) has a pencil of monomial ovals, then it is either an elliptic quadric or a Tits ovoid. Further, we show that if an ovoid of PG(3, q) has a bundle of translation ovals, again under some extra assumptions, then the ovoid is an elliptic quadric or a Tits ovoid.

Original language	English
Pages (from-to)	223-241
Journal	Geometriae Dedicata
Volume	59
Publication status	Published - 1996

Cite this

@article{2a2b3e5e02cd46b288edcd8c525827e5,

title = "Ovoids and monomial ovals",

abstract = "This paper is a contribution to the classification of ovoids. We show, under some rather technical assumptions, that if an ovoid of PG(3, q) has a pencil of monomial ovals, then it is either an elliptic quadric or a Tits ovoid. Further, we show that if an ovoid of PG(3, q) has a bundle of translation ovals, again under some extra assumptions, then the ovoid is an elliptic quadric or a Tits ovoid.",

author = "D.G. Glynn and C.M. O'Keefe and Tim Penttila and Cheryl Praeger",

year = "1996",

language = "English",

volume = "59",

pages = "223--241",

journal = "Geometriae Dedicata",

publisher = "Springer",

}

TY - JOUR

T1 - Ovoids and monomial ovals

AU - Glynn, D.G.

AU - O'Keefe, C.M.

AU - Penttila, Tim

AU - Praeger, Cheryl

PY - 1996

Y1 - 1996

N2 - This paper is a contribution to the classification of ovoids. We show, under some rather technical assumptions, that if an ovoid of PG(3, q) has a pencil of monomial ovals, then it is either an elliptic quadric or a Tits ovoid. Further, we show that if an ovoid of PG(3, q) has a bundle of translation ovals, again under some extra assumptions, then the ovoid is an elliptic quadric or a Tits ovoid.

AB - This paper is a contribution to the classification of ovoids. We show, under some rather technical assumptions, that if an ovoid of PG(3, q) has a pencil of monomial ovals, then it is either an elliptic quadric or a Tits ovoid. Further, we show that if an ovoid of PG(3, q) has a bundle of translation ovals, again under some extra assumptions, then the ovoid is an elliptic quadric or a Tits ovoid.

M3 - Article

VL - 59

SP - 223

EP - 241

JO - Geometriae Dedicata

JF - Geometriae Dedicata

ER -

Ovoids and monomial ovals

Abstract

Fingerprint

Cite this