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junaid [2023/02/23 17:51] – [Contact Map Germs] Dr. Atiq ur Rehmanjunaid [2023/02/23 17:55] (current) – [Procedure to classify the stably simple curve singularities] Dr. Atiq ur Rehman
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 ====Procedure to classify the right unimodal and bimodal Hypersurface singularities in positive characteristic by invariants==== ====Procedure to classify the right unimodal and bimodal Hypersurface singularities in positive characteristic by invariants====
-  * [[http://www.mathcity.org/files/junaid/Right-uni-and-bimodal-in-+ve-char.txt|Download Code in TXT file]]+ 
 +  * [[mathcity>files/junaid/Right-uni-and-bimodal-in-+ve-char.txt|Download Code in Text file]]
  
 ====Procedure to classify the stably simple curve singularities==== ====Procedure to classify the stably simple curve singularities====
-  * [[http://www.mathcity.org/files/junaid/ClassifierSS.txt|Download Code in TXT file]]+Remarks: Compute the Sagbi- basis of the Module. Compute the Semi-Group of the Algebra provided the input is Sagbi Bases of the Algebra. Compute the Semi-Module provided that the inputs are the Sagbi Bases of the Algebra resp. Module. 
 + 
 +  * [[mathcity>files/junaid/ClassifierSS.txt|Download Code in Text file]] 
 + 
 +====Procedures to Compute SH-bases of subalgebra ====
  
-====Procedures to  Compute  SH-bases of subalgebra ==== +  * [[mathcity>files/junaid/SH-basis_procedures.txt|Download Code in Text file]]
-  * SPDFICON [[http://www.mathcity.org/files/junaid/SH-basis_procedures.pdf|Download Code in PDF file]] +
-  * [[http://www.mathcity.org/files/junaid/SH-basis_procedures.txt|Download Code in TXT file]]+
 ==== Procedure to Compute Sasbi Bases ===== ==== Procedure to Compute Sasbi Bases =====
 Let A=B_> be a localization of a polynomial subalgebra B with respect to a local monomial ordering >. For a polynomial f of R_> (a localization of ring R with respect to >) and a finite set of polynomials I in A,  the following procedure computes a weak Sasbi normal form of f with respect to A. Let A=B_> be a localization of a polynomial subalgebra B with respect to a local monomial ordering >. For a polynomial f of R_> (a localization of ring R with respect to >) and a finite set of polynomials I in A,  the following procedure computes a weak Sasbi normal form of f with respect to A.