Minimal bundles and fine moduli spaces

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dc.creatorHein, Georg
dc.date2009-03-13
dc.date.accessioned2026-07-07T12:52:20Z
dc.date.available2026-07-07T12:52:20Z
dc.descriptionWe study sheaves E on a smooth projective curve X which are minimal with respect to the property that $h^0(E \otimes L) >0$ for all line bundles L of degree zero. We show that these sheaves define ample divisors D(E) on the Picard torus Pic(X). Next we classify all minimal sheaves of rank one and two. As an application we show that the moduli space parameterizing rank two bundles of odd degree can be obtained as a Quot scheme.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0903.2330
dc.identifierhttp://arxiv.org/abs/0903.2330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223266
dc.subjectAlgebraic Geometry
dc.subject14D20; 14H60; 14H40;
dc.titleMinimal bundles and fine moduli spaces
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