1 Ocak 2012 Dergi makalesi Açık Erişim

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

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{
  "@context": "https://schema.org/", 
  "@id": 88995, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26480 Eskisehir, Turkey", 
      "name": "Akca, Z."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26480 Eskisehir, Turkey", 
      "name": "Bayar, A."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26480 Eskisehir, Turkey", 
      "name": "Ekmekci, S."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26480 Eskisehir, Turkey", 
      "name": "Kaya, R."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Univ Ghent, Dept Math, B-9000 Ghent, Belgium", 
      "name": "Thas, J. A."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Univ Ghent, Dept Math, B-9000 Ghent, Belgium", 
      "name": "Van Maldeghern, H."
    }
  ], 
  "datePublished": "2012-01-01", 
  "description": "We classify all embeddings theta : PG(n,K) -> PG(d, F), with d >= n(n+3)/2 and K, F skew fields with vertical bar K vertical bar > 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) -> 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.", 
  "headline": "Generalized Veronesean embeddings of projective spaces, Part II. The lax case.", 
  "identifier": 88995, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Generalized Veronesean embeddings of projective spaces, Part II. The lax case.", 
  "url": "https://aperta.ulakbim.gov.tr/record/88995"
}