Department of Mathematics
Scopus Author ID
Web of Science Researcher ID
Core sets in Kähler manifolds
Göğüş, Nihat Gökhan; Günyüz, Ozan; Yazıcı, Özcan (2023-09-15)
The primary objective of this paper is to study core sets in the setting of m-subharmonic functions on the class of (non-compact) Kähler manifolds. Core sets are investigated in different aspects by considering various cla...
Local Boundedness of Catlin q-Type
Yazıcı, Özcan (2022-02-01)
In D'Angelo (Ann Math 115:615-637, 1982) introduced the notion of finite type for points p of a real hypersurface M of C-n by defining the order of contact Delta(q)(M, p) of complex-analytic q-dimensional varieties with M ...
A note on the transfinite diameter of Bernstein sets
Yazıcı, Özcan (2022-01-01)
A compact set K subset of C-n is called Bernstein set if, for some constant M > 0, the following inequality
Upper level sets of Lelong numbers on P-2 and cubic curves
Kişisel, Ali Ulaş Özgür; Yazıcı, Özcan (2021-11-01)
Let T be a positive closed current of bidimension (1, 1) with unit mass on P-2 and V-alpha(T) be the upper level sets of Lelong numbers nu(T, x) of T. For any alpha >= 1/3, we show that vertical bar V-alpha(T)\C vertical b...
Holomorphic extension of meromorphic mappings along real analytic hypersurfaces
Yazıcı, Özcan (Springer Science and Business Media LLC, 2020-08-01)
Let M subset of C-n be a real analytic hypersurface, M' subset of C-N (N >= n) be a strongly pseudoconvex real algebraic hypersurface of the special form, and F be a meromorphic mapping in a neighborhood of a point p is an...
Finite type points on subsets of C-n
Yazıcı, Özcan (Elsevier BV, 2020-07-01)
In [4], D'Angelo introduced the notion of points of finite type for a real hypersurface M subset of C-n and showed that the set of points of finite type in M is open. Later, Lamel-Mir [8] considered a natural extension of ...
Dynamical estimates on a class of quadratic polynomial automorphisms of C-3
Yazıcı, Özcan (2017-01-01)
Quadratic automorphisms of C3 are classified up to affine conjugacy into seven classes by Fornss and Wu. Five of them contain irregular maps with interesting dynamics. In this paper, we focus on the maps in the fifth class...
Extension of plurisubharmonic functions in the Lelong class
Yazıcı, Özcan (2014-01-01)
Let X be an algebraic subvariety of Cn and X be its closure in Pn. In their paper (J. Reine Angew. Math. 676 (2013), 33-49), Coman, Guedj and Zeriahi proved that any plurisub- harmonic function with logarithmic growth on X...
Citation Formats