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Points in Generic Position and Conductors of Curves with Ordinary Singularities
Author(s) -
Orecchia Ferruccio
Publication year - 1981
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-24.1.85
Subject(s) - tangent , gravitational singularity , embedding , conductor , mathematics , general position , dimension (graph theory) , tangent cone , position (finance) , mathematical analysis , multiplicity (mathematics) , pure mathematics , geometry , computer science , finance , artificial intelligence , economics
We compute the conductor of the local ring A of an algebraic curve at an ordinary singular point. In particular if the points of the projectivized tangent cone Proj ( G ( A )) are in generic position we show that the conductor depends only on the multiplicity and on the embedding dimension of A . This partially extends a previous result of Northcott and Matlis for curves of embedding dimension 2. Some of the results of this paper have been announced in [ 6 ].