Non-degenerate curves with maximal Hartshorne-Rao module

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dc.creatorNagel, Uwe
dc.date2002-09-21
dc.date.accessioned2026-07-07T04:51:06Z
dc.date.available2026-07-07T04:51:06Z
dc.descriptionExtending results for space curves we establish bounds for the cohomology of a non-degenerate curve in projective $n$-space. As a consequence, for any given $n$ we determine all possible pairs $(d, g)$ where $d$ is the degree and $g$ is the (arithmetic) genus of the curve. Furthermore, we show that curves attaining our bounds always exist and describe properties of these extremal curves. In particular, we determine the Hartshorne-Rao module, the generic initial ideal and the graded Betti numbers of an extremal curve.
dc.identifierhttps://arxiv.org/abs/math/0209280
dc.identifierhttp://arxiv.org/abs/math/0209280
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65026
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.titleNon-degenerate curves with maximal Hartshorne-Rao module
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