Geometric structures arising from generalized j-planes
نویسندگان
چکیده
We study translation planes constructed by André net replacement on jj · · · jplanes and derivation on jj · · · j-planes. Then, we get to the conclusion that the family of non-André jj · · · j-planes is new, and thus so are their replaced and derived planes. We also study a new way to construct translation planes by putting together two ‘halves’ of planes that belong to two different jj · · · j-planes. We show examples of planes of small order constructed this way. Finally, we prove that using regular hyperbolic covers, jj · · · j-planes induce partitions of Segre varieties by Veronesians (sometimes called flat flocks)
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تاریخ انتشار 2010