The automorphism group of the moduli space of semi stable vector bundles

dc.creatorKouvidakis, Alexis
dc.creatorPantev, Tony
dc.date1993-06-02
dc.date.accessioned2026-07-07T09:05:50Z
dc.date.available2026-07-07T09:05:50Z
dc.descriptionLet ${\cal S}{\cal U}(r, L_0)$ denote the moduli space of semi stable vector bundles of rank $r$ and fixed determinant $L_0$ of degree $d$ on a smooth curve $C$ of genus $g \geq 3$. In this paper we describe the group of automorphisms of $ {\cal S}{\cal U}(r, L_0) $. The analogue of this result is carried out for the space ${\cal U}(r,d) $ of semi stable vector bundles of rark $r$ and degree $d$. As an application of the technics we use, we give in the appendix at the end of the paper a proof of the Torelli theorem for the moduli spaces ${\cal S}{\cal U}(r, L_0) $ for any rank $r$ and degree $d$.
dc.description48 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/alg-geom/9306001
dc.identifierhttp://arxiv.org/abs/alg-geom/9306001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149814
dc.subjectAlgebraic Geometry
dc.titleThe automorphism group of the moduli space of semi stable vector bundles
dc.typetext

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