Ozhan Genc

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20212026

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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

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.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…

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

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

Instanton bundles on P1×F1​

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