Dergi makalesi Açık Erişim
Akca, Z.; Bayar, A.; Ekmekci, S.; Kaya, R.; Thas, J. A.; Van Maldeghern, H.
<?xml version='1.0' encoding='UTF-8'?> <record xmlns="http://www.loc.gov/MARC21/slim"> <leader>00000nam##2200000uu#4500</leader> <datafield tag="700" ind1=" " ind2=" "> <subfield code="a">Bayar, A.</subfield> <subfield code="u">Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26480 Eskisehir, Turkey</subfield> </datafield> <datafield tag="700" ind1=" " ind2=" "> <subfield code="a">Ekmekci, S.</subfield> <subfield code="u">Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26480 Eskisehir, Turkey</subfield> </datafield> <datafield tag="700" ind1=" " ind2=" "> <subfield code="a">Kaya, R.</subfield> <subfield code="u">Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26480 Eskisehir, Turkey</subfield> </datafield> <datafield tag="700" ind1=" " ind2=" "> <subfield code="a">Thas, J. A.</subfield> <subfield code="u">Univ Ghent, Dept Math, B-9000 Ghent, Belgium</subfield> </datafield> <datafield tag="700" ind1=" " ind2=" "> <subfield code="a">Van Maldeghern, H.</subfield> <subfield code="u">Univ Ghent, Dept Math, B-9000 Ghent, Belgium</subfield> </datafield> <datafield tag="909" ind1="C" ind2="4"> <subfield code="c">65-80</subfield> <subfield code="p">ARS COMBINATORIA</subfield> <subfield code="v">103</subfield> </datafield> <datafield tag="980" ind1=" " ind2=" "> <subfield code="a">user-tubitak-destekli-proje-yayinlari</subfield> </datafield> <datafield tag="540" ind1=" " ind2=" "> <subfield code="a">Creative Commons Attribution</subfield> <subfield code="u">http://www.opendefinition.org/licenses/cc-by</subfield> </datafield> <datafield tag="773" ind1=" " ind2=" "> <subfield code="i">isVersionOf</subfield> <subfield code="a">10.81043/aperta.88994</subfield> <subfield code="n">doi</subfield> </datafield> <datafield tag="024" ind1=" " ind2=" "> <subfield code="a">10.81043/aperta.88995</subfield> <subfield code="2">doi</subfield> </datafield> <datafield tag="245" ind1=" " ind2=" "> <subfield code="a">Generalized Veronesean embeddings of projective spaces, Part II. The lax case.</subfield> </datafield> <datafield tag="100" ind1=" " ind2=" "> <subfield code="a">Akca, Z.</subfield> <subfield code="u">Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26480 Eskisehir, Turkey</subfield> </datafield> <datafield tag="909" ind1="C" ind2="O"> <subfield code="o">oai:zenodo.org:88995</subfield> <subfield code="p">user-tubitak-destekli-proje-yayinlari</subfield> </datafield> <datafield tag="650" ind1="1" ind2="7"> <subfield code="2">opendefinition.org</subfield> <subfield code="a">cc-by</subfield> </datafield> <datafield tag="260" ind1=" " ind2=" "> <subfield code="c">2012-01-01</subfield> </datafield> <datafield tag="856" ind1="4" ind2=" "> <subfield code="u">https://aperta.ulakbim.gov.trrecord/88995/files/bib-3170f5ae-a15d-40e9-8ee6-f48390e810d4.txt</subfield> <subfield code="z">md5:dec500fe439e9db4ac71c6c8d3738ec9</subfield> <subfield code="s">197</subfield> </datafield> <datafield tag="542" ind1=" " ind2=" "> <subfield code="l">open</subfield> </datafield> <controlfield tag="005">20210316073056.0</controlfield> <controlfield tag="001">88995</controlfield> <datafield tag="980" ind1=" " ind2=" "> <subfield code="a">publication</subfield> <subfield code="b">article</subfield> </datafield> <datafield tag="520" ind1=" " ind2=" "> <subfield code="a">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.</subfield> </datafield> </record>
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