### D.6.15 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.6.15.1 codim |  | vector space dimension of id2/id1 if finite
> D.6.15.2 deform |  | infinitesimal deformations of ideal i
> D.6.15.3 dim_slocus |  | dimension of singular locus of ideal i
> D.6.15.4 is_active |  | is polynomial f an active element mod id? (id ideal/module)
> D.6.15.5 is_ci |  | is ideal i a complete intersection?
> D.6.15.6 is_is |  | is ideal i an isolated singularity?
> D.6.15.7 is_reg |  | is polynomial f a regular element mod id? (id ideal/module)
> D.6.15.8 is_regs |  | are gen's of ideal i regular sequence modulo id?
> D.6.15.9 locstd |  | SB for local degree ordering without cancelling units
> D.6.15.10 milnor |  | milnor number of ideal i; (assume i is ICIS in nf)
> D.6.15.11 nf_icis |  | generic combinations of generators; get ICIS in nf
> D.6.15.12 slocus |  | ideal of singular locus of ideal i
> D.6.15.13 qhspectrum |  | spectrum numbers of w-homogeneous polynomial f
> D.6.15.14 Tjurina |  | SB of Tjurina module of ideal i (assume i is ICIS)
> D.6.15.15 tjurina |  | Tjurina number of ideal i (assume i is ICIS)
> D.6.15.16 T_1 |  | T^1-module of ideal i
> D.6.15.17 T_2 |  | T^2-module of ideal i
> D.6.15.18 T_12 |  | T^1- and T^2-module of ideal i
> D.6.15.19 tangentcone |  | compute tangent cone of id

User manual for Singular version 4-0-3, 2016, generated by texi2html.