Advisors

Now showing items 1-9 of 9

    • Classical Zariski pairs with nodes 

      Akyol, Ayşegül (Bilkent University, 2008)
      In this thesis we study complex projective sextic curves with simple singularities. All curves constituting classical Zariski pairs, especially those with nodes, are enumerated and classified up to equisingular deformation. ...

    • Deformation classes of singular quartic surfaces 

      Aktaş, Çisem Güneş (Bilkent University, 2016-12)
      We study complex spatial quartic surfaces with simple singularities and give their classication up to equisingular deformation. Simple quartics are K3-surfaces and as such they can be studied by means of the global Torelli ...

    • Monodromy groups of real Enriques surfaces 

      Erdoğan Demir, Sultan (Bilkent University, 2012-09)
      In this thesis, we compute the monodromy groups of real Enriques surfaces. The principal tools are the deformation classification of such surfaces and a modified version of Donaldson’s trick, relating real Enriques ...

    • N-tangle Kanenobu knots with the same Jones polynomials 

      Kutluay, Deniz (Bilkent University, 2010)
      It is still an open question if there exists a non-trivial knot whose Jones polynomial is trivial. One way of attacking this problem is to develop a mutation on knots which keeps the Jones polynomial unchanged yet alters ...

    • On real Enriques surfaces 

      Küçük, Özgül (Bilkent University, 1997)

    • On the monodromy groups of real Enriques surfaces 

      Erdoğan, Sultan (Bilkent University, 2003)
      In this thesis we start the study of the fundamental group of the moduli space of real Enriques surfaces. The principal result is the assertion that, with one exception, any permutation of components of the half E (2) R of ...

    • On the Nẹ́ron-severi lattice of Delsarte surfaces 

      Kişioğlu, Mehmet (Bilkent University, 2016-10)
      The Nẹ́ron-Severi group, NS(X), of a given (non-singular projective) variety, X, is defined in only algebro-geometric terms, however it is also known to be an arithmetic invariant. So it is an important study that helps ...

    • Plane sextics with a type E7 singular point 

      Aktaş, Mehmet Emin (Bilkent University, 2011)
      The computation of the fundamental grup of a plane sextic (i.e., curves B ⊂ P 2 ) still remain unanswered problem. There is an huge effort on this subject. In this thesis, we study plane sextic curves with a type E7 ...

    • Simple singular irreducible plane sextics 

      Akyol, Ayşegül (Bilkent University, 2013)
      We consider irreducible complex plane projective curves of degree six with simple singular points only and classify such curves up to equisingular deformation. (We concentrate on the so-called non-special curves, as the ...