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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 HNdevelop  Hamburger-Noether (H-N) development of f
D.5.5.2 develop  H-N development of irreducible curves
D.5.5.3 reddevelop  H-N development of reducible curves
D.5.5.4 essdevelop  H-N development of essential branches
D.5.5.5 extdevelop  extension of the H-N development hne of f
D.5.5.6 param  a parametrization of f (input=output(develop))
D.5.5.7 displayHNE  display H-N development as an ideal
D.5.5.8 invariants  invariants of f, e.g. the characteristic exponents
D.5.5.9 multsequence  sequence of multiplicities
D.5.5.10 displayInvariants  display invariants of f
D.5.5.11 intersection  intersection multiplicity of two curves
D.5.5.12 displayMultsequence  display sequence of multiplicities
D.5.5.13 stripHNE  reduce amount of memory consumed by hne
D.5.5.14 is_irred  test for irreducibility
Auxiliary procedures:
D.5.5.15 puiseux2generators  convert Puiseux pairs to generators of semigroup
D.5.5.16 multiplicities  multiplicities of blowed up curves
D.5.5.17 separateHNE  number of quadratic transf. needed for separation
D.5.5.18 squarefree  a squarefree divisor of the poly f
D.5.5.19 allsquarefree  the maximal squarefree divisor of the poly f
D.5.5.20 further_hn_proc  show further procedures useful for interactive use


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            User manual for Singular version 2-0-0, February 2001, generated by texi2html.