Changeset fd5013 in git for Singular/LIB/hnoether.lib
- Timestamp:
- Aug 2, 2006, 5:40:53 PM (18 years ago)
- Branches:
- (u'fieker-DuVal', '117eb8c30fc9e991c4decca4832b1d19036c4c65')(u'spielwiese', 'fc741b6502fd8a97288eaa3eba6e5220f3c3df87')
- Children:
- f6f1dbfc1e8487ccbf1ca0d7a3d2600069315a9f
- Parents:
- d1932987874a4523d2a42efe3046b953ed52af76
- File:
-
- 1 edited
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Singular/LIB/hnoether.lib
rd193298 rfd5013 1 version="$Id: hnoether.lib,v 1.5 2 2006-07-18 15:48:19Singular Exp $";1 version="$Id: hnoether.lib,v 1.53 2006-08-02 15:40:51 Singular Exp $"; 2 2 category="Singularities"; 3 3 info=" … … 1628 1628 contains the multiplicities of the branches at their infinitely near point 1629 1629 of 0 in its (i-1) order neighbourhood (i.e., i=1: multiplicity of the 1630 branches themselves, i=2: multiplicity of their 1st quadratic transform ed,1630 branches themselves, i=2: multiplicity of their 1st quadratic transform, 1631 1631 etc., @* 1632 1632 Hence, @code{multsequence(INPUT)[1][*,j]} is the multiplicity sequence … … 1788 1788 with: 1789 1789 @code{a_1 , ... , a_n} the sequence of multiplicities of the 1st branch, 1790 @code{[...]} the multiplicities of the j-th transform edof all branches,1790 @code{[...]} the multiplicities of the j-th transform of all branches, 1791 1791 @code{(...)} indicating branches meeting in an infinitely near point. 1792 1792 @end format … … 2242 2242 mu (optional) is Milnor number of f.@* 2243 2243 NP (optional) is output of @code{newtonpoly(f)}. 2244 RETURN: int: 1 if f i nNewton non-degenerate, 0 otherwise.2244 RETURN: int: 1 if f is Newton non-degenerate, 0 otherwise. 2245 2245 SEE ALSO: newtonpoly 2246 2246 KEYWORDS: Newton non-degenerate; Newton polygon … … 4236 4236 RETURN: int, the delta invariant of the singularity at 0, that is, the vector 4237 4237 space dimension of R~/R, (R~ the normalization of the local ring of 4238 the singularity .4238 the singularity). 4239 4239 NOTE: In case the Hamburger-Noether expansion of the curve f is needed 4240 4240 for other purposes as well it is better to calculate this first
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