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D.6.6 classify_aeq_lib
- Library:
- classifyAeq.lib
- Purpose:
- Simple Space Curve singularities in characteristic 0
- Authors:
- Faira Kanwal Janjua [email protected]
Gerhard Pfister [email protected]
Khawar Mehmood [email protected]
- Overview:
- A library for classifying the simple singularities
with respect to A equivalence in characteristic 0.
Simple Surface singularities in characteristic O have been classified by Bruce and Gaffney [4] resp.
Gibson and Hobbs [1] with respect to A equivalence. If the input is one of the simple singularities in
[1] it returns a normal form otherwise a zero ideal(i.e not simple).
- References:
- [1] Gibson,C.G; Hobbs,C.A.:Simple SIngularities of Space Curves.
Math.Proc. Comb.Phil.Soc.(1993),113,297.
[2] Hefez,A;Hernandes,M.E.:Standard bases for local rings of branches and their modules of differentials.
Journal of Symbolic Computation 42(2007) 178-191.
[3] Hefez,A;Hernandes,M.E.:The Analytic Classification Of Plane Branches. Bull.Lond Math Soc.43.(2011) 2,289-298.
[4] Bruce, J.W.,Gaffney, T.J.: Simple singularities of mappings (C, 0) ->(C2,0).
J. London Math. Soc. (2) 26 (1982), 465-474.
[5] Ishikawa,G; Janeczko,S.: The Complex Symplectic Moduli Spaces of Unimodal Parametric Plane Curve Singularities. Insitute of Mathematics of the Polish Academy of Sciences,Preprint 664(2006)
Procedures:
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