Singular

D.6.20 sing_lib

Library:

sing.lib

Purpose:

Invariants of Singularities

Authors:

Gert-Martin Greuel, email: greuel@mathematik.uni-kl.de
Bernd Martin, email: martin@math.tu-cottbus.de

Procedures:

D.6.20.1 codim		vector space dimension of id2/id1 if finite
D.6.20.2 deform		infinitesimal deformations of ideal i
D.6.20.3 dim_slocus		dimension of singular locus of ideal i
D.6.20.4 is_active		is polynomial f an active element mod id? (id ideal/module)
D.6.20.5 is_ci		is ideal i a complete intersection?
D.6.20.6 is_is		is ideal i an isolated singularity?
D.6.20.7 is_reg		is polynomial f a regular element mod id? (id ideal/module)
D.6.20.8 is_regs		are gen's of ideal i regular sequence modulo id?
D.6.20.9 locstd		SB for local degree ordering without cancelling units
D.6.20.10 milnor		milnor number of ideal i; (assume i is ICIS in nf)
D.6.20.11 nf_icis		generic combinations of generators; get ICIS in nf
D.6.20.12 slocus		ideal of singular locus of ideal i
D.6.20.13 qhspectrum		spectrum numbers of w-homogeneous polynomial f
D.6.20.14 Tjurina		SB of Tjurina module of ideal i (assume i is ICIS)
D.6.20.15 tjurina		Tjurina number of ideal i (assume i is ICIS)
D.6.20.16 T_1		T^1-module of ideal i
D.6.20.17 T_2		T^2-module of ideal i
D.6.20.18 T_12		T^1- and T^2-module of ideal i
D.6.20.19 tangentcone		compute tangent cone of id