Ozhan Genc

activity

20162026

most citedInstanton bundles on the blow up of the projective

3

-space at a point

11 citations · 43 across the 11 of their papers we have counts for

collaborators

12 papers

math.AG2026

On the classification of polarized surfaces with weakly Ulrich or initialized aCM tangent bundles

Debojyoti Bhattacharya, Ozhan Genc, Angelo Felice Lopez

Counterexamples to the Eisenbud-Schreyer conjecture on the existence of Ulrich bundles have appeared recently (see Anghel [A1] and the third author [Lo]). As weakly Ulrich bundles…

math.AG2026

H-Instanton Bundles on Three-Dimensional Smooth Toric Varieties with Picard Number Two

Ozhan Genc, Francesco Malaspina

We study $H$ -instanton bundles on the infinite family of smooth three-dimensional varieties $X_{e} = P (O_{P^{2}} \oplus O_{P^{2}} (e))$ , for $…

math.AG2024★ 1 cited

Instanton Sheaves on Ruled Fano 3-folds of Picard Rank 2 and Index 1

Ozhan Genc, Marcos Jardim

We study rank 2 $h$ -instanton sheaves on projective threefolds. We demonstrate that any orientable rank 2, non-locally free $h$ -instanton sheaf with defect 0 on a threefold can be…

math.AG2022

$ℓ$ -away ACM Bundles on Fano Surfaces

Filip Gawron, Ozhan Genc

We propose the definition of $ℓ$ -away ACM bundle on a polarized variety $(X, O_{X} (h))$ . Then we give constructions of $ℓ$ -away ACM bundles on $(\mathbb{P}^2 , \mat…

math.AG2021★ 5 cited

Even and odd instanton bundles on Fano threefolds

Vincenzo Antonelli, Gianfranco Casnati, Ozhan Genc

We define non-ordinary instanton bundles on Fano threefolds $X$ extending the notion of (ordinary) instanton bundles. We determine a lower bound for the quantum number of a non-ord…

math.AG2021

Instanton bundles on $P^{1} \times F_{1}$

Vincenzo Antonelli, Gianfranco Casnati, Ozhan Genc

In this paper we deal with a particular class of rank two vector bundles (\emph{instanton} bundles) on the Fano threefold of index one $F := F_{1} \times P^{1}$ . We sho…

math.AG2020★ 9 cited

Instanton bundles on two Fano threefolds of index $1$

Gianfranco Casnati, Ozhan Genc

We deal with instanton bundles on the product $P^{1} \times P^{2}$ and the blow up of $P^{3}$ along a line. We give an explicit construction leading to instan…

math.AG2020

Ulrich Trichotomy on del Pezzo surfaces

Emre Coskun, Ozhan Genc

In this article, we use a correspondence between Ulrich bundles on a projective variety and quiver representations to prove that certain del Pezzo surfaces satisfy the Ulrich trich…

math.AG2019★ 11 cited

Instanton bundles on the blow up of the projective $3$ -space at a point

Gianfranco Casnati, Emre Coskun, Ozhan Genc +1

We propose a general definition of mathematical instanton bundle with given charge on any Fano threefold extending the classical definitions on $P^{3}$ and on Fano threefold…

math.AG2018★ 6 cited

On stability of tangent bundle of toric varieties

Indranil Biswas, Arijit Dey, Ozhan Genc +1

Let $X$ be a nonsingular complex projective toric variety. We address the question of semi-stability as well as stability for the tangent bundle $T X$ . In particular, a complete a…

math.AG2016★ 10 cited

Ulrich Bundles on Veronese surfaces

Emre Coskun, Ozhan Genc

We prove that every Ulrich bundle on the Veronese surface has a resolution in terms of twists of the trivial bundle over $P^{2}$ . Using this classification, we prove exist…

math.AG2016★ 1 cited

Stable Ulrich Bundles on Fano Threefolds with Picard Number 2