Abstract
We introduce and study the notion of a generalized (k-th) Veronese space associated with a partial linear space. Standard geometrical concepts (triangles, strong subspaces etc.) are interpreted in the defined structures (cf. 2.4, 2.11, 3.1). Then some basic features of veronesians are proved, in particular we establish which common geometrical axioms are preserved (cf. 2.6, 3.2, 3.5, 3.4, 3.6, and 4.11). Finally, we determine the automorphism groups of generalized Veronese spaces (cf. 5.10, 5.9, 6.4, and 6.5).
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Naumowicz, A., Prażmowski, K. The geometry of generalized Veronese spaces. Results. Math. 45, 115–136 (2004). https://doi.org/10.1007/BF03323002
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DOI: https://doi.org/10.1007/BF03323002