Blar i Fakultet for teknologi, kunst og design (TKD) på emneord "Quartic surfaces"

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    • Components of the Hilbert scheme of space curves on low-degree smooth surfaces 

      Kleppe, Jan Oddvar; Ottem, John Christian (International Journal of Mathematics;26(2), Journal article; Peer reviewed, 2015-02-27)
      We study maximal families W of the Hilbert scheme, H(d, g)sc, of smooth connected space curves whose general curve C lies on a smooth surface S of degree s. We give conditions on C under which W is a generically smooth ...

    • The Hilbert scheme of space curves sitting on a smooth surface containing a line 

      Kleppe, Jan Oddvar (Peer reviewed; Journal article, 2016-10-14)
      We continue the study of maximal families W of the Hilbert scheme, H(d,g)_{sc}, of smooth connected space curves whose general curve C lies on a smooth degree-s surface S containing a line. For s > 3, we extend the two ...