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A semioval in a finite projective plane is a non-empty pointset S with the property that for every point in S there exists a unique line t_P such that S∩tP=P. This line is called the tangent to S at P.
Semiovals arise in several parts of finite geometries: as absolute points of a polarity (ovals, unitals), as special minimal blocking sets (vertexless triangle), in connection with cryptography (determining sets). We survey the results on semiovals and give some new proofs
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