1 Ocak 2012 Dergi makalesi Açık Erişim

Akca, Z.; Bayar, A.; Ekmekci, S.; Kaya, R.; Thas, J. A.; Van Maldeghern, H.

Dublin Core

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  <dc:creator>Akca, Z.</dc:creator>
  <dc:creator>Bayar, A.</dc:creator>
  <dc:creator>Ekmekci, S.</dc:creator>
  <dc:creator>Kaya, R.</dc:creator>
  <dc:creator>Thas, J. A.</dc:creator>
  <dc:creator>Van Maldeghern, H.</dc:creator>
  <dc:date>2012-01-01</dc:date>
  <dc:description>We classify all embeddings theta : PG(n,K) -&gt; PG(d, F), with d &gt;= n(n+3)/2 and K, F skew fields with vertical bar K vertical bar &gt; 2, such that 0 maps the set of points of each line of PG(n,K) to a set of coplanar points of PG(d, F), and such that the image of theta generates PG(d, F). It turns out that d = 1/2n(n + 3) and all examples "essentially" arise from a similar "full" embedding theta' : PG(n, K) -&gt; PG(d,K) by identifying K with subfields of IF and embedding PG(d, K) into PG(d, F) by several ordinary field extensions. These "full" embeddings satisfy one more property and are classified in [5]. They relate to the quadric Veronesean of PG(n, K) in PG(d, K) and its projections from subspaces of PG(d, K) generated by sub-Veroneseans (the point sets corresponding to subspaces of PG(n,K)), if K is commutative, and to a degenerate analogue of this, if K is noncommutative.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/88995</dc:identifier>
  <dc:identifier>oai:zenodo.org:88995</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>ARS COMBINATORIA 103 65-80</dc:source>
  <dc:title>Generalized Veronesean embeddings of projective spaces, Part II. The lax case.</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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