Advisors
Now showing items 19 of 9

Classical Zariski pairs with nodes
(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
(Bilkent University, 201612)We study complex spatial quartic surfaces with simple singularities and give their classication up to equisingular deformation. Simple quartics are K3surfaces and as such they can be studied by means of the global Torelli ... 
Monodromy groups of real Enriques surfaces
(Bilkent University, 201209)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 ... 
Ntangle Kanenobu knots with the same Jones polynomials
(Bilkent University, 2010)It is still an open question if there exists a nontrivial 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
(Bilkent University, 1997) 
On the monodromy groups of real Enriques surfaces
(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 Nẹ́ronseveri lattice of Delsarte surfaces
(Bilkent University, 201610)The Nẹ́ronSeveri group, NS(X), of a given (nonsingular projective) variety, X, is defined in only algebrogeometric 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
(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
(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 socalled nonspecial curves, as the ...