1 citations · 2 across the 5 of their papers we have counts for
8 papers
Invariant vector bundles and Hitchin systems
Zakaria Ouaras, Hacen Zelaci
Let be a Galois cover with Galois group , where and are smooth complex projective curve of genus . In this paper, we study the moduli space…
Hecke transformation for orthogonal bundles over curves
Christian Pauly, Hacen Zelaci
Given an orthogonal bundle over a smooth projective curve we define a Hecke transformation in the moduli space of orthogonal bundles by performing an elementary transformat…
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…
On very stablity of principal bundles
Hacen Zelaci
Let be a smooth irreducible projective curve. Recently, Pauly and Peón-Nieto shows that a vector bundle over is very stable if and only if the Hitchin map on the vector spa…
Moduli spaces of anti-invariant vector bundles over a curve
Hacen Zelaci
Let be a smooth irreducible projective curve with an involution . A vector bundle over is called anti-invariant if there exists an isomorphism .…
Moduli spaces of anti-invariant vector bundles and twisted conformal blocks
Hacen Zelaci
We prove a canonical identifications of the spaces of generalized theta functions on the moduli spaces of anti-invariant vector bundles in the ramified case and the conformal block…
Hitchin systems for invariant and anti-invariant vector bundles
Hacen Zelaci
Given a smooth projective complex curve with an involution , we study the Hitchin systems for the locus of anti-invariant (resp. invariant) stable vector bundles over un…
On the principally polarized abelian varieties that contain m-minimal curves
Shin-Yao Jow, Adrien Sauvaget, Hacen Zelaci
In this paper, we study principally polarized abelian varieties of dimension that contain a curve such that the class of is times the minimal class. Welt…