The genus of curves on the three dimensional quadric

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dc.creatorde Cataldo, Mark Andrea A.
dc.date1996-08-21
dc.date.accessioned2026-07-07T09:06:55Z
dc.date.available2026-07-07T09:06:55Z
dc.descriptionBy means of an {\it ad hoc} modification of the so-called ``Castelnuovo-Harris analysis" we derive an upper bound for the genus of integral curves on the three dimensional nonsingular quadric which lie on an integral surface of degree $2k$, as a function of $k$ and the degree $d$ of the curve. In order to obtain this we revisit the Uniform Position Principle to make its use computation-free. The curves which achieve this bound can be conveniently characterized. Keywords: Castelnuovo-Harris Bound, Uniform Position Principle, Low Codimension, Linkage
dc.descriptionAmsppt,15 pages, to appear in Nagoya Math. J
dc.identifierhttps://arxiv.org/abs/alg-geom/9608019
dc.identifierhttp://arxiv.org/abs/alg-geom/9608019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150189
dc.subjectAlgebraic Geometry
dc.subject14E35, 14H45, 14M06,14M07, 14M17, 14N99
dc.titleThe genus of curves on the three dimensional quadric
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