On a Conjecture of Harvey and Lawson

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dc.creatorWermer, John
dc.date2008-07-23
dc.date.accessioned2026-07-07T09:52:18Z
dc.date.available2026-07-07T09:52:18Z
dc.descriptionWe consider complex projective space P^{n} and a smooth closed curve gamma in P^{n}. Harvey and Lawson have defined the notion of the projective hull \hat{K} of a compact subset K in P^n. This concept is an analogue of the polynomial hull of compact subsets of C^{n}. In the present note we study the relation between the following two properties of the curve gamma: (1) \hat{gamma} - gamma is a one-dimensional complex analytic subvariety of P^{n} - gamma, and (2) There exists a Stein subdomain of P^{n} which contains the projective hull \hat{gamma} of gamma.
dc.identifierhttps://arxiv.org/abs/0807.3583
dc.identifierhttp://arxiv.org/abs/0807.3583
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165550
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject30H05, 32Q99
dc.titleOn a Conjecture of Harvey and Lawson
dc.typetext

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