Changeset 7c7ca9 in git


Ignore:
Timestamp:
Jan 9, 2001, 5:16:14 PM (23 years ago)
Author:
Mathias Schulze <mschulze@…>
Branches:
(u'spielwiese', '5b153614cbc72bfa198d75b1e9e33dab2645d9fe')
Children:
6ab8550563f4cfbca9c234cb8589bc1220901b4f
Parents:
958e16a5bb9d642b48e254c0cc79880bbf3b9b7f
Message:
*** empty log message ***


git-svn-id: file:///usr/local/Singular/svn/trunk@5036 2c84dea3-7e68-4137-9b89-c4e89433aadc
File:
1 edited

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  • Singular/LIB/gaussman.lib

    r958e16 r7c7ca9  
    11///////////////////////////////////////////////////////////////////////////////
    2 version="$Id: gaussman.lib,v 1.21 2001-01-07 15:21:09 greuel Exp $";
     2version="$Id: gaussman.lib,v 1.22 2001-01-09 16:16:14 mschulze Exp $";
    33category="Singularities";
    44
     
    148148@format
    149149          if mode=0:
    150              matrix M: exp(-2*pi*i*M) is a monodromy matrix of f
     150            matrix M: exp(-2*pi*i*M) is a monodromy matrix of f
    151151          if mode=1:
    152              ideal e: exp(-2*pi*i*e) is the spectrum of the monodromy of f
     152            ideal e: exp(-2*pi*i*e) is the spectrum of the monodromy of f
    153153@end format
    154154SEE ALSO: monodromy.lib, jordan.lib
     
    371371
    372372proc vfiltration(poly f,list #)
    373 "USAGE:    vfiltration(f[,mode]); poly f, int mode[default=1]
    374 ASSUME:   local ordering, f isolated singularity at 0
    375 RETURN:   list l:
    376 @format           
     373"USAGE:    vfiltration(f[,mode]); poly f, int mode[=1]
     374ASSUME:   basering has local ordering, f has isolated singularity at 0
     375RETURN:
     376@format
    377377          list l:
    378378          if mode=0 or mode=1:
    379             l[1]: ideal, spectral numbers in increasing order
    380             l[2]: intvec
    381                   l[2][i]: int, multiplicity of spectral number l[1][i]
    382           if mode=1 :
    383             l[3]: list
    384                   l[3][i]: module, vector space basis of l[1][i]-th graded
    385                            part of the V-filtration on H''/H' in terms of l[4]
    386             l[4]: ideal, monomial vector space basis of H''/H'
    387             l[5]: ideal, standard basis of Jacobian ideal
    388           @end format
    389 NOTE:     H' and H'' denote Brieskorn lattices
     379            ideal l[1]: spectral numbers in increasing order
     380            intvec l[2]:
     381              int l[2][i]: multiplicity of spectral number l[1][i]
     382          if mode=1:
     383            list l[3]:
     384              module l[3][i]: vector space basis of l[1][i]-th graded part
     385                             of the V-filtration on H''/H' in terms of l[4]
     386            ideal l[4]: monomial vector space basis of H''/H'
     387            ideal l[5]: standard basis of the Jacobian ideal
     388@end format
     389NOTE:     H' and H'' denote the Brieskorn lattices
    390390SEE ALSO: spectrum.lib
    391391KEYWORDS: singularities; Gauss-Manin connection; spectrum;
     
    749749
    750750proc vfiltjacalg(list l)
    751 "USAGE:   vfiltjacalg(vfiltration(f));
    752 ASSUME:  local ordering, f isolated singularity at 0
    753 RETURN: 
    754 @format 
     751"USAGE:   vfiltjacalg(vfiltration(f)); poly f
     752ASSUME:  basering has local ordering, f has isolated singularity at 0
     753RETURN:
     754@format
    755755         list l:
    756            l[1]: ideal, spectral numbers of the V-filtration on the
    757                  Jacobian algebra in increasing order
    758            l[2]: intvec
    759                l[2][i]: int, multiplicity of spectral number l[1][i]
    760            l[3]: list
    761                l[3][i]: module, vector space basis of l[1][i]-th graded part
    762                         of the V-filtration on the Jacobian algebra in terms
    763                         of l[4]
    764            l[4]: ideal, monomial vector space basis of the Jacobian algebra
    765            l[5]: ideal, standard basis of Jacobian ideal
     756           ideal l[1]: spectral numbers of the V-filtration
     757                       on the Jacobian algebra in increasing order
     758           intvec l[2]:
     759             int l[2][i]: multiplicity of spectral number l[1][i]
     760           list l[3]:
     761             module l[3][i]: vector space basis of the l[1][i]-th graded part
     762                             of the V-filtration on the Jacobian algebra
     763                             in terms of l[4]
     764           ideal l[4]: monomial vector space basis of the Jacobian algebra
     765           ideal l[5]: standard basis of the Jacobian ideal
    766766@end format
    767767EXAMPLE: example vfiltjacalg; shows an example
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