Pencils of lines in generalized Laguerre spaces

Mathematics – Combinatorics

Scientific paper

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Scientific paper

In the paper we characterize subspaces and pencils of lines of generalized
(and multidimensional) Laguerre spaces and we consider definability of the
structure of "conic" pencils in the Grassmann space of 1-subspaces. We also
study definability of the underlying Laguerre geometry in terms of structures
of pencils of lines for some, more interesting, systems of pencils.

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