Irreducibility of hypersurfaces

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dc.creatorBodin, Arnaud
dc.creatorDèbes, Pierre
dc.creatorNajib, Salah
dc.date2007-01-31
dc.date.accessioned2026-07-07T07:44:05Z
dc.date.available2026-07-07T07:44:05Z
dc.descriptionGiven a polynomial P in several variables over an algebraically closed field, we show that except in some special cases that we fully describe, if one coefficient is allowed to vary, then the polynomial is irreducible for all but at most deg(P)^2-1 values of the coefficient. We more generally handle the situation where several specified coefficients vary.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0701919
dc.identifierhttp://arxiv.org/abs/math/0701919
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123067
dc.subjectNumber Theory
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject12E05; 11C08
dc.titleIrreducibility of hypersurfaces
dc.typetext

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