Configurations of ovals

Tim Penttila

doi:10.1007/s00022-003-1700-4

Configurations of ovals

Tim Penttila

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

10 Citations (Scopus)

Abstract

We survey the known hyperovals in . We then survey the relationship of the study of configurations of ovals in called augmented fans to that of ovoids of , flocks of the quadratic cone of , flocks of a translation oval cone of and spreads of certain generalised quadrangles of order. We also consider the configurations of ovals in called herds and their relationship with flocks of the quadratic cone of.

Original language	English
Pages (from-to)	233-255
Journal	Journal of Geometry
Volume	76
Issue number	1-2
DOIs	https://doi.org/10.1007/s00022-003-1700-4
Publication status	Published - 2003

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10.1007/s00022-003-1700-4

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title = "Configurations of ovals",

abstract = "We survey the known hyperovals in . We then survey the relationship of the study of configurations of ovals in called augmented fans to that of ovoids of , flocks of the quadratic cone of , flocks of a translation oval cone of and spreads of certain generalised quadrangles of order. We also consider the configurations of ovals in called herds and their relationship with flocks of the quadratic cone of.",

author = "Tim Penttila",

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language = "English",

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AB - We survey the known hyperovals in . We then survey the relationship of the study of configurations of ovals in called augmented fans to that of ovoids of , flocks of the quadratic cone of , flocks of a translation oval cone of and spreads of certain generalised quadrangles of order. We also consider the configurations of ovals in called herds and their relationship with flocks of the quadratic cone of.

UR - https://www.scopus.com/pages/publications/9244257635

U2 - 10.1007/s00022-003-1700-4

DO - 10.1007/s00022-003-1700-4

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SN - 0047-2468

VL - 76

SP - 233

EP - 255

JO - Journal of Geometry

JF - Journal of Geometry

IS - 1-2

ER -

Configurations of ovals

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