Ordinary Singularities of Algebraic Curves
1981 ◽
Vol 24
(4)
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pp. 423-431
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Keyword(s):
AbstractLet A be the local ring at a singular point p of an algebraic reduced curve. Let M (resp. Ml,..., Mh) be the maximal ideal of A (resp. of Ā). In this paper we want to classify ordinary singularities p with reduced tangent cone: Spec(G(A)). We prove that G(A) is reduced if and only if: p is an ordinary singularity, and the vector spaces span the vector space . If the points of the projectivized tangent cone Proj(G(A)) are in generic position then p is an ordinary singularity if and only if G(A) is reduced. We give an example which shows that the preceding equivalence is not true in general.
2019 ◽
Vol 19
(04)
◽
pp. 2050061
Keyword(s):
2019 ◽
Vol 19
(05)
◽
pp. 2050086
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Keyword(s):
1998 ◽
Vol 57
(1)
◽
pp. 59-71
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Keyword(s):
2016 ◽
Vol 101
(2)
◽
pp. 277-287
Keyword(s):