On the Castelnuovo-Mumford regularity of connected curves

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dc.creatorGiaimo, Daniel
dc.date2003-09-02
dc.date.accessioned2026-07-07T05:00:48Z
dc.date.available2026-07-07T05:00:48Z
dc.descriptionIn this paper we prove the Eisenbud-Goto conjecture for connected curves. We also investigate the structure of connected curves for which this bound is optimal. In particular, we construct connected curves of arbitrarily high degree in projective 4-space having maximal regularity, but no extremal secants. We also show that any connected curve in projective 3-space of degree at least 5 that has no linear components and has maximal regularity has an extremal secant.
dc.description21 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0309051
dc.identifierhttp://arxiv.org/abs/math/0309051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68455
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject13D02, 14H99
dc.titleOn the Castelnuovo-Mumford regularity of connected curves
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