Ali Ulaş Özgür Kişisel

E-mail

akisisel@metu.edu.tr

Department

Department of Mathematics

ORCID

0000-0002-3082-9261

Scopus Author ID

8410807600

Web of Science Researcher ID

V-2279-2018

AMOEBA MEASURES OF RANDOM PLANE CURVES Kişisel, Ali Ulaş Özgür; Welschinger, Jean-Uves (2026-01-28) We prove that the expected area of the amoeba of a complex plane curve of degree d is less than 3 ln(d)(2)/2 + 9 ln(d) + 9 and once rescaled by ln(d)(2), is asymptotically bounded from below by 3/4. In order to get this lo...
Graphs of schemes associated to group actions Kişisel, Ali Ulaş Özgür; Özkan, Engin (2023-12-01) Let X be a proper algebraic scheme over an algebraically closed field. We assume that atorus T acts on X such that the action has isolated fixed points. The T-graph of X canbe defined using the fixed points and the one-dim...
Expected Multivolumes of Random Amoebas Bayraktar, Turgay; Kişisel, Ali Ulaş Özgür (2023-09-01) We compute the expected multivolume of the amoeba of a random half dimensional complete intersection in CP2n . We also give a relative generalization of our result to the toric case.
On amoebas of random plane curves Kişisel, Ali Ulaş Özgür; Bayraktar, Turgay (2022-05-30) Due to a theorem of Passare and Rullgard, the area of the amoeba of a degreed" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.16px; overflow-wrap: normal; white-space: nowrap; float: none; ...
Upper level sets of Lelong numbers on ℙ2 and cubic curves Yazici, Özcan; Kişisel, Ali Ulaş Özgür (2022-03-01) Let T be a positive closed current of bidimension (1, 1) with unit mass on P2 and Vα(T) be the upper level sets of Lelong numbers ν(T,x) of T. For any α≥13, we show that |Vα(T)∖C|≤2 for some cubic curve C.
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...
The Only Complex 4-net is the Hesse Configuration Kişisel, Ali Ulaş Özgür (2020-06-12) It has been conjectured that the only nets realizable in CP2 are 3-nets and the Hesse configuration (up to isomorphism). The goal of this talk will be to outline our proof, together with A. Bassa, of this conjecture. A pre...
Toric varieties and the diagonal property Kişisel, Ali Ulaş Özgür (Springer, 2010-01-01)
A note on the products (1(mu)+1)(2(mu)+1) ... (n(mu)+1) Guerel, Erhan; Kişisel, Ali Ulaş Özgür (2010-01-01) Let Omega(mu)(n) = (1(mu) + 1)(2(mu) + 1) ... (n(mu) + 1) where mu >= 2 is an integer. We prove that Omega(3)(n) is never squarefull, and in particular never a square, using arguments similar to those in J. Cilleruelo (200...
Cotton flow Kişisel, Ali Ulaş Özgür; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (IOP Publishing, 2008-8-5) Using the conformally-invariant Cotton tensor, we define a geometric flow, the Cotton flow, which is exclusive to three dimensions. This flow tends to evolve the initial metrics into conformally flat ones, and is somewhat ...

Citation Formats