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D.5.5 hnoether_lib

Library:
hnoether.lib
Purpose:
Hamburger-Noether (Puiseux) Development
Author:
Martin Lamm, lamm@mathematik.uni-kl.de

Overview:
A library for computing the Hamburger-Noether, resp. Puiseux, development of a plane curve singularity following [Campillo, A.: Algebroid curves in positive characteristic, Springer LNM 813 (1980)].
The library contains also procedures for computing the (topological) numerical invariants of plane curve singularities.

Main procedures:

D.5.5.1 hnexpansion  Hamburger-Noether (H-N) development of f
D.5.5.2 sethnering  changes to the hnering created by hnexpansion
D.5.5.3 develop  H-N development of irreducible curves
D.5.5.4 extdevelop  extension of the H-N development hne of f
D.5.5.5 parametrisation  a parametrization of f
D.5.5.6 displayHNE  display H-N development as an ideal
D.5.5.7 invariants  invariants of f, e.g. the characteristic exponents
D.5.5.8 displayInvariants  display invariants of f
D.5.5.9 multsequence  sequence of multiplicities
D.5.5.10 displayMultsequence  display sequence of multiplicities
D.5.5.11 intersection  intersection multiplicity of two curves
D.5.5.12 stripHNE  reduce amount of memory consumed by hne
D.5.5.13 is_irred  test if f is irreducible
D.5.5.14 delta  delta invariant of f
D.5.5.15 newtonpoly  (local) Newton polygon of f
D.5.5.16 is_NND  test if f is Newton non-degenerate
Auxiliary procedures:
D.5.5.17 puiseux2generators  convert Puiseux pairs to generators of semigroup
D.5.5.18 separateHNE  number of quadratic transf. needed for separation
D.5.5.19 squarefree  a squarefree divisor of the poly f
D.5.5.20 allsquarefree  the maximal squarefree divisor of the poly f
D.5.5.21 further_hn_proc  show further procedures useful for interactive use


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            User manual for Singular version 2-0-4, May 2003, generated by texi2html.