Minimal rational curves in moduli spaces of stable bundles

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dc.creatorSun, Xiaotao
dc.date2003-10-06
dc.date.accessioned2026-07-07T05:01:38Z
dc.date.available2026-07-07T05:01:38Z
dc.descriptionIn this short note, we show that any rational curve passing through the generic point in a moduli space of stable bundles with rank $r$ and fixed determinant on a smooth projective curve of genus $g\ge 4$ has degree (with respect to the anti-canonical line bundle of the moduli space) at least $2r$. It has degree $2r$ if and only if it is a Hecke curve.
dc.description6 pages, amstex
dc.identifierhttps://arxiv.org/abs/math/0310066
dc.identifierhttp://arxiv.org/abs/math/0310066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68750
dc.subjectAlgebraic Geometry
dc.subject14F10, 14F05
dc.titleMinimal rational curves in moduli spaces of stable bundles
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