Arithmetically Cohen--Macaulay curves in P^4 of degree 4 and genus 0

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dc.creatorMartin-Deschamps, Mireille
dc.creatorPiene, Ragni
dc.date1996-10-15
dc.date.accessioned2026-07-07T09:07:01Z
dc.date.available2026-07-07T09:07:01Z
dc.descriptionWe show that the arithmetically Cohen--Macaulay (ACM) curves of degree 4 and genus 0 in ${\bold P}^4$ form an irreducible subset of the Hilbert scheme. Using this, we show that the singular locus of the corresponding component of the Hilbert scheme has dimension greater than 6. Moreover, we describe the structures of all ACM curves of Hilb$^{4m+1}({\bold P}^4)$.
dc.description17 pages, AMSTeX
dc.identifierhttps://arxiv.org/abs/alg-geom/9610016
dc.identifierhttp://arxiv.org/abs/alg-geom/9610016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150221
dc.subjectAlgebraic Geometry
dc.titleArithmetically Cohen--Macaulay curves in P^4 of degree 4 and genus 0
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