On plane algebroid curves

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dc.creatorBarucci, Valentina
dc.creatorD'Anna, Marco
dc.creatorFroberg, Ralf
dc.date2003-02-19
dc.date.accessioned2026-07-07T04:55:24Z
dc.date.available2026-07-07T04:55:24Z
dc.descriptionTwo plane analytic branches are topologically equivalent if and only if they have the same multiplicity sequence. We show that having same semigroup is equivalent to having same multiplicity sequence, we calculate the semigroup from a parametrization, and we characterize semigroups for plane branches. These results are known, but the proofs are new. Furthermore we characterize multiplicity sequences of plane branches, and we prove that the associated graded ring, with respect to the values, of a plane branch is a complete intersection.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0302224
dc.identifierhttp://arxiv.org/abs/math/0302224
dc.identifierLecture Notes Pure Appl. Math. 231 (2003), 37-50
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66568
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13H15; 14B05
dc.titleOn plane algebroid curves
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