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The intersection of certain quadrics

1938
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Proceedings of the Edinburgh Mathematical Society
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We investigate in this paper a certain special family of quadric varieties, that is of F|_ 1 's in [R]. Now among the more important properties of a quadric in [R] is that it possesses a system or systems of " generators," i.e., the quadric may be taken as the locus of certain families of subspaces, the behaviour of these depending on the parity of R. If i? is even, a quadric Ffn-i in [2n] contains a single family of [n-l]'s, so it seems likely that in discussing special families of quadrics in

doi:10.1017/s0013091500008403
fatcat:6ndwy6yceneq7pf3m7lcokqiyy