caa a22 4500 445358696 CHVBK 20180317142908.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00493-011-2651-2 doi (NATIONALLICENCE)springer-10.1007/s00493-011-2651-2 Generalized Veronesean embeddings of projective spaces [Elektronische Daten] [Joseph Thas, Hendrik Van Maldeghem] We classify all embeddings θ: PG(n, q) → PG(d, q), with $$d \geqslant \tfrac{{n(n + 3)}} {2}$$ , such that θ maps the set of points of each line to a set of coplanar points and such that the image of θ generates PG(d, q). It turns out that d = ½n(n+3) and all examples are related to the quadric Veronesean of PG(n, q) in PG(d, q) and its projections from subspaces of PG(d, q) generated by sub-Veroneseans (the point sets corresponding to subspaces of PG(n, q)). With an additional condition we generalize this result to the infinite case as well. János Bolyai Mathematical Society and Springer Verlag, 2011 Thas Joseph Department of Mathematics, Ghent University, Krijgslaan 281-S22, B-9000, Ghent, Belgium aut Van Maldeghem Hendrik Department of Mathematics, Ghent University, Krijgslaan 281-S22, B-9000, Ghent, Belgium aut Combinatorica Springer-Verlag 31/5(2011-11-01), 615-629 0209-9683 31:5<615 2011 31 493 https://doi.org/10.1007/s00493-011-2651-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00493-011-2651-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Thas Joseph Department of Mathematics, Ghent University, Krijgslaan 281-S22, B-9000, Ghent, Belgium aut NATIONALLICENCE 700 1- Van Maldeghem Hendrik Department of Mathematics, Ghent University, Krijgslaan 281-S22, B-9000, Ghent, Belgium aut NATIONALLICENCE 773 0- Combinatorica Springer-Verlag 31/5(2011-11-01), 615-629 0209-9683 31:5<615 2011 31 493 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer