volume 28, issue 3, P405-409 2002
DOI: 10.1007/s00454-002-0744-9
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Abstract: Abstract. We construct 2n − 2 smooth quadrics in R n whose equations have the same degree 2 homogeneous parts such that these quadrics have 3 · 2 n−1 isolated common real tangent lines. Special cases of the construction give examples of 2n −2 spheres with affinely dependent centres such that all but one of the radii are equal, and of 2n − 2 quadrics which are translated images of each other.Sottile and Theobald proved in Theorem 10 of [3] that given 2n −2 quadric hypersurfaces in P n C whose intersection with…

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