> | ### 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

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