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Topic review - Intersection Multiplicity of Hypersurfaces
Author Message
 Vrbik
 Post subject: Intersection Multiplicity of Hypersurfaces
 I am a Singular newbie.Suppose the ambient polynomial ring is QQ[x0,...,xN] for QQ a field. How would one calculate the intersection multiplicity of a point in the variety of N curves h1,...,hN in QQ[x1,...,xN] at a point from Q x ... x Q.This value is equivalent to the (vector) dimension of the local ring at p modulo . In particular,im( p, h1,...,hN ) = dim( {f/g : g(p) <> 0} / ); I am a Singular newbie.Suppose the ambient polynomial ring is QQ[x0,...,xN] for QQ a field. How would one calculate the intersection multiplicity of a point in the variety of N curves h1,...,hN in QQ[x1,...,xN] at a point from Q x ... x Q.This value is equivalent to the (vector) dimension of the local ring at p modulo . In particular,im( p, h1,...,hN ) = dim( {f/g : g(p) <> 0} / );
 Posted: Fri Jun 20, 2014 10:14 pm

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