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On tight sets of hyperbolic quadrics
We prove that the parameter of a tight set of a hyperbolic
quadric of an odd rank satisfies , where is the number of points of
in any generator of . As this modular equation should
have an integer solution in if such a exists, this condition
rules out roughly at least one half of all possible parameters . It
generalizes a previous result by the author and K. Metsch shown for tight sets
of a hyperbolic quadric (also known as Cameron-Liebler line
classes in )