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Some
SINGULAR
libraries
Singularity Theory
classify.lib
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Classification of isolated hypersurface singularities
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deform.lib
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versal deformations of isolated singularities
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gaussman.lib
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Monodromy, V-Filtration and Spectrum for isolated hypersurface singularities
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hnoether.lib
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Hamburger-Noether (Puiseux) development
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mondromy.lib
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Monodromy of an isolated hypersurface singularity
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sing.lib
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procedures for singularities, e.g.
dimension, Milnor, Tjurina numbers,
T1, T2
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spcurve.lib
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Utilities for CM codimension 2 Singularities
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Commutative algebra
primdec.lib
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Primary decomposition based on
Gianni / Traeger / Zacharias and on Shimoyama / Yokoyama
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normal.lib
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Ring normalization
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elim.lib
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Elimination, saturation, blowing up
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homolog.lib
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Exti, Massey-products, versal deformation of modules
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mregular.lib
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Castelnuovo-Mumford regularity
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Invariant Theory
finvar.lib
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Invariant rings
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qhmoduli.lib
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Moduli spaces for semi-quasihomogeneous isolated hypersurface singularities
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stratify.lib
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Algorithmic stratification w.r.t. the action of a unipotent group
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Solving
solve.lib
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Solving of polynomial systems
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Visualization
latex.lib
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Typesetting
SINGULAR
objects in LaTeX
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surf.lib
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Procedures for graphics with surf
(only for Linux PCs and Sun workstations)
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Linear Algebra
matrix.lib
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Procedures for matrix operations (e.g., tensor, gauss_col, gauss_row...),
Jordan normal form
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Others
brnoeth.lib
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Brill-Noether algorithm, AG Codes
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intprog.lib
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Integer Programming, Toric Varieties
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