Changeset 46af92 in git


Ignore:
Timestamp:
Apr 15, 2003, 1:47:27 PM (21 years ago)
Author:
Mathias Schulze <mschulze@…>
Branches:
(u'spielwiese', '5b153614cbc72bfa198d75b1e9e33dab2645d9fe')
Children:
31287c90cb66ffb2b786aa36e2e120346a15f5b5
Parents:
7de4d7cc7867f47f444275630017f9256ae11fb9
Message:
*** empty log message ***


git-svn-id: file:///usr/local/Singular/svn/trunk@6678 2c84dea3-7e68-4137-9b89-c4e89433aadc
File:
1 edited

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  • Singular/LIB/gaussman.lib

    r7de4d7 r46af92  
    11///////////////////////////////////////////////////////////////////////////////
    2 version="$Id: gaussman.lib,v 1.89 2003-03-03 17:34:00 mschulze Exp $";
     2version="$Id: gaussman.lib,v 1.90 2003-04-15 11:47:27 mschulze Exp $";
    33category="Singularities";
    44
    55info="
    6 LIBRARY:  gaussman.lib  Local Gauss-Manin System
     6LIBRARY:  gaussman.lib  Gauss-Manin System of Isolated Singularities
    77
    88AUTHOR:   Mathias Schulze, email: mschulze@mathematik.uni-kl.de
     
    3636SEE ALSO: mondromy_lib, spectrum_lib
    3737
    38 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice;
    39           monodromy; spectrum; spectral pairs;
     38KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice;
    4039          mixed Hodge structure; V-filtration; weight filtration
     40          Bernstein polynomial; monodromy; spectrum; spectral pairs;
     41          good basis;
    4142";
    4243
     
    121122@end format
    122123NOTE:     gmsbasis is a C[[s]]-basis of H'' and [t,s]=s^2
    123 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice
     124KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice
    124125EXAMPLE:  example gmsring; shows examples
    125126"
     
    222223@end format
    223224NOTE:     computation can be continued by setting p=nf[2]
    224 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice
     225KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice
    225226EXAMPLE:  example gmsnf; shows examples
    226227"
     
    302303@end format
    303304NOTE:     computation can be continued by setting p=l[2]
    304 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice
     305KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice
    305306EXAMPLE:  example gmscoeffs; shows examples
    306307"
     
    564565RETURN:   ideal r;  roots of the Bernstein polynomial b excluding the root -1
    565566NOTE:     the roots of b are negative rational numbers and -1 is a root of b
    566 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice;
     567KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice;
    567568          Bernstein polynomial
    568569EXAMPLE:  example bernstein; shows examples
     
    622623@end format
    623624SEE ALSO: mondromy_lib, linalg_lib
    624 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice; monodromy
     625KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice; monodromy
    625626EXAMPLE:  example monodromy; shows examples
    626627"
     
    668669@end format
    669670SEE ALSO: spectrum_lib
    670 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice;
     671KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice;
    671672          mixed Hodge structure; V-filtration; spectrum
    672673EXAMPLE:  example spectrum; shows examples
     
    699700@end format
    700701SEE ALSO: spectrum_lib
    701 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice;
     702KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice;
    702703          mixed Hodge structure; V-filtration; weight filtration;
    703704          spectrum; spectral pairs
     
    733734@end format
    734735SEE ALSO: spectrum_lib
    735 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice;
     736KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice;
    736737          mixed Hodge structure; V-filtration; spectrum
    737738EXAMPLE:  example vfilt; shows examples
     
    768769@end format
    769770SEE ALSO: spectrum_lib
    770 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice;
     771KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice;
    771772          mixed Hodge structure; V-filtration; weight filtration;
    772773          spectrum; spectral pairs
     
    879880  ideal M;  monomial C-basis of H''/sH''
    880881@end format
    881 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice;
    882           mixed Hodge structure; opposite Hodge filtration; V-filtration
     882KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice;
     883          mixed Hodge structure; V-filtration; good basis
    883884EXAMPLE:  example tmatrix; shows examples
    884885"
     
    10881089  ideal ev[5];  standard basis of Jacobian ideal
    10891090@end format
    1090 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice;
     1091KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice;
    10911092          mixed Hodge structure; V-filtration; endomorphism filtration
    10921093EXAMPLE:  example endvfilt; shows examples
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