Changeset 46af92 in git
- Timestamp:
- Apr 15, 2003, 1:47:27 PM (21 years ago)
- Branches:
- (u'spielwiese', '5b153614cbc72bfa198d75b1e9e33dab2645d9fe')
- Children:
- 31287c90cb66ffb2b786aa36e2e120346a15f5b5
- Parents:
- 7de4d7cc7867f47f444275630017f9256ae11fb9
- File:
-
- 1 edited
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Singular/LIB/gaussman.lib
r7de4d7 r46af92 1 1 /////////////////////////////////////////////////////////////////////////////// 2 version="$Id: gaussman.lib,v 1. 89 2003-03-03 17:34:00mschulze Exp $";2 version="$Id: gaussman.lib,v 1.90 2003-04-15 11:47:27 mschulze Exp $"; 3 3 category="Singularities"; 4 4 5 5 info=" 6 LIBRARY: gaussman.lib Local Gauss-Manin System6 LIBRARY: gaussman.lib Gauss-Manin System of Isolated Singularities 7 7 8 8 AUTHOR: Mathias Schulze, email: mschulze@mathematik.uni-kl.de … … 36 36 SEE ALSO: mondromy_lib, spectrum_lib 37 37 38 KEYWORDS: singularity; Gauss-Manin system; Brieskorn lattice; 39 monodromy; spectrum; spectral pairs; 38 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice; 40 39 mixed Hodge structure; V-filtration; weight filtration 40 Bernstein polynomial; monodromy; spectrum; spectral pairs; 41 good basis; 41 42 "; 42 43 … … 121 122 @end format 122 123 NOTE: gmsbasis is a C[[s]]-basis of H'' and [t,s]=s^2 123 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice124 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice 124 125 EXAMPLE: example gmsring; shows examples 125 126 " … … 222 223 @end format 223 224 NOTE: computation can be continued by setting p=nf[2] 224 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice225 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice 225 226 EXAMPLE: example gmsnf; shows examples 226 227 " … … 302 303 @end format 303 304 NOTE: computation can be continued by setting p=l[2] 304 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice305 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice 305 306 EXAMPLE: example gmscoeffs; shows examples 306 307 " … … 564 565 RETURN: ideal r; roots of the Bernstein polynomial b excluding the root -1 565 566 NOTE: the roots of b are negative rational numbers and -1 is a root of b 566 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice;567 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice; 567 568 Bernstein polynomial 568 569 EXAMPLE: example bernstein; shows examples … … 622 623 @end format 623 624 SEE ALSO: mondromy_lib, linalg_lib 624 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice; monodromy625 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice; monodromy 625 626 EXAMPLE: example monodromy; shows examples 626 627 " … … 668 669 @end format 669 670 SEE ALSO: spectrum_lib 670 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice;671 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice; 671 672 mixed Hodge structure; V-filtration; spectrum 672 673 EXAMPLE: example spectrum; shows examples … … 699 700 @end format 700 701 SEE ALSO: spectrum_lib 701 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice;702 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice; 702 703 mixed Hodge structure; V-filtration; weight filtration; 703 704 spectrum; spectral pairs … … 733 734 @end format 734 735 SEE ALSO: spectrum_lib 735 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice;736 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice; 736 737 mixed Hodge structure; V-filtration; spectrum 737 738 EXAMPLE: example vfilt; shows examples … … 768 769 @end format 769 770 SEE ALSO: spectrum_lib 770 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice;771 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice; 771 772 mixed Hodge structure; V-filtration; weight filtration; 772 773 spectrum; spectral pairs … … 879 880 ideal M; monomial C-basis of H''/sH'' 880 881 @end format 881 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice;882 mixed Hodge structure; opposite Hodge filtration; V-filtration882 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice; 883 mixed Hodge structure; V-filtration; good basis 883 884 EXAMPLE: example tmatrix; shows examples 884 885 " … … 1088 1089 ideal ev[5]; standard basis of Jacobian ideal 1089 1090 @end format 1090 KEYWORDS: singularit y; Gauss-Manin system; Brieskorn lattice;1091 KEYWORDS: singularities; Gauss-Manin system; Brieskorn lattice; 1091 1092 mixed Hodge structure; V-filtration; endomorphism filtration 1092 1093 EXAMPLE: example endvfilt; shows examples
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