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Partial flocks of the quadratic cone yielding Mathon maximal arcs by De Clerck, Frank; De Winter, Stefaan; Maes, Thomas is a scholarly article available to read on EtoBox.

What is Partial flocks of the quadratic cone yielding Mathon maximal arcs about?

N. Hamilton and J. A. Thas describe a link between maximal arcs of Mathon type and partial flocks of the quadratic cone. This link is of a rather algebraic nature. In this paper we establish a geometric connection between these two structures. We also define a composition on the flock planes and use this to work out an analogue of the synthetic version of Mathon's Theorem. Finally, we show how it is possible to construct a maximal arc of Mathon type of degree 2d, containing a Denniston arc of degree d provided that there is a solution to a certain given system of trace conditions.

Author

De Clerck, Frank; De Winter, Stefaan; Maes, Thomas

Published

2011

Language

EN