Diophantine Approximation on Varieties IV: Derivated algebraic distance and derivative metric Bezout Theorem

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dc.creatorMassold, Heinrich
dc.date2009-01-25
dc.date.accessioned2026-07-07T12:34:26Z
dc.date.available2026-07-07T12:34:26Z
dc.descriptionThe metric Bezout Theorem proved in an earlier paper can be extended to a derivative version that compares derivatives of the algebraic distance of a point $θ$ to two properly intersecting cycles in projective space with the derivatives of the algebraic distance of $θ$ to their intersection. This improvement can be used to make algebraic independence criteria, to be proved in a forthcoming paper, more flexible and to refine Approximation results that are proved using the metric Bezout Theorem.
dc.identifierhttps://arxiv.org/abs/0901.3889
dc.identifierhttp://arxiv.org/abs/0901.3889
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217432
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14G40, 11G35, 11G50, 11J13, 14J20
dc.titleDiophantine Approximation on Varieties IV: Derivated algebraic distance and derivative metric Bezout Theorem
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