Hacen Zelaci

collaborators

3 papers

math.AG2025

Invariant vector bundles and Hitchin systems

Zakaria Ouaras, Hacen Zelaci

Let $X \to Y$ be a Galois cover with Galois group $I^$ , where $X$ and $Y$ are smooth complex projective curve of genus $⩾ 2$ . In this paper, we study the moduli spac…

math.AG2025

Hecke transformation for orthogonal bundles over curves

Christian Pauly, Hacen Zelaci

Given an orthogonal bundle $E$ over a smooth projective curve $X$ we define a Hecke transformation in the moduli space of orthogonal bundles by performing an elementary transformat…

math.AG2024

Strange duality at level one for alternating vector bundles

Hacen Zelaci

In this paper, we show a strange duality isomorphism at level one for the space of generalized theta functions on the moduli spaces of alternating anti-invariant vector bundles in…