Curves in the double plane

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dc.creatorHartshorne, Robin
dc.creatorSchlesinger, Enrico
dc.date1999-06-30
dc.date.accessioned2026-07-07T05:29:43Z
dc.date.available2026-07-07T05:29:43Z
dc.descriptionWe study locally Cohen-Macaulay curves in projective three-space which are contained in a double plane 2H, thus completing the classification of curves lying on surfaces of degree two. We describe the irreducible components of the Hilbert schemes of locally Cohen-Macaulay curves in 2H of given degree and arithmetic genus. We show that these Hilbert schemes are connected. We also discuss the Rao modules of these curves, and liaison and biliaison equivalence classes.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/9906209
dc.identifierhttp://arxiv.org/abs/math/9906209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78750
dc.subjectAlgebraic Geometry
dc.subject14H50,14H10,14C05
dc.titleCurves in the double plane
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