Ali Ulas Ozgur Kisisel

activity

20002023

most citedCotton flow

33 citations · 42 across the 10 of their papers we have counts for

collaborators

11 papers

math.AG2023★ 2 cited

Expected Multivolumes of Random Amoebas

Turgay Bayraktar, Ali Ulaş Özgür Kişisel

We compute the expected multivolume of the amoeba of a random half dimensional complete intersection in $CP^{2 n}$ . We also give a relative generalization of our result to…

math.CV2022

Upper level sets of Lelong numbers on Hirzebruch surfaces

Ali Ulaş Özgür Kişisel, Ozcan Yazici

Let $F_{a}$ denote the Hirzebruch surfaces and $T_{α, α^{'}} (F_{a})$ denotes the set of positive, closed $(1, 1)$ -currents on $F_{a}$ whose coh…

math.CV2021

Upper level sets of Lelong numbers on $P^{2}$ and cubic curves

Ali Ulaş Özgür Kişisel, Ozcan Yazici

Let $T$ be a positive closed current of bidimension $(1, 1)$ with unit mass on $P^{2}$ and $V_{α} (T)$ be the upper level sets of Lelong numbers $ν (T, x)$ of $T$ . For any $α\geq \…

math.AG2020★ 2 cited

The Only Complex 4-Net Is the Hesse Configuration

Alp Bassa, Ali Ulas Ozgur Kisisel

It has been conjectured that the only nets realizable in $CP^{2}$ are 3-nets and the Hesse configuration (up to isomorphism). We prove this conjecture.

math.AG2015

Graphs of Schemes Associated to Group Actions

Ali Ulas Ozgur Kisisel, Engin Ozkan

Let $X$ be a proper algebraic scheme over an algebraically closed field. We assume that a torus $T$ acts on $X$ such that the action has isolated fixed points. The $T$ -graph of $X$ …

math.AG2014

Linear Tropicalizations

Mustafa Hakan Gunturkun, Ali Ulas Ozgur Kisisel

Let $X$ be a closed algebraic subset of $A^{n} (K)$ where $K$ is an algebraically closed field complete with respect to a nontrivial non-Archimedean valuation. We show that…