Singular

D.5.12 resbinomial_lib

Todos/Issues:

• formatting is inapprociate
• avoid export
• bad names(or should be static): identifyvars, elimrep, convertdata, lcmofall, genoutput, salida, iniD, reslist, sumlist, dividelist, createlist

Library:

resbinomial.lib

Purpose:

Combinatorial algorithm of resolution of singularities of binomial ideals in arbitrary characteristic. Binomial resolution algorithm of Blanco

Authors:

R. Blanco, mariarocio.blanco@uclm.es,
G. Pfister, pfister@mathematik.uni-kl.de

Procedures:

D.5.12.1 BINresol		computes a E-resolution of singularities of (J) (THE SECOND PART IS NOT IMPLEMENTED YET)
D.5.12.2 Eresol		computes a E-resolution of singularities of (J) in char 0
D.5.12.3 determinecenter		computes the next blowing-up center
D.5.12.4 Blowupcenter		makes the blowing-up
D.5.12.5 Nonhyp		computes the ideal generated by the non hyperbolic generators of expJ
D.5.12.6 identifyvar		identifies status of variables
D.5.12.7 Edatalist		gives the E-order of each term in Exp
D.5.12.8 EOrdlist		computes the E-order of an ideal (giving in the language of lists)
D.5.12.9 maxEord		computes de maximum E-order of an ideal given by Coef and Exp
D.5.12.10 ECoef		Computes a simplified version of the E-Coeff ideal. The E-orders are correct, but transformations of coefficients of the generators and powers of binomials cannot be computed easily in terms of lists.
D.5.12.11 elimrep		removes repeated terms from a list
D.5.12.12 Emaxcont		computes a list of hypersurfaces of E-maximal contact
D.5.12.13 cleanunit		clean the units in a monomial mon
D.5.12.14 resfunction		composes the E-resolution function
D.5.12.15 calculateI		computes the order of the non monomial part of an ideal J
D.5.12.16 Maxord		computes the maximum exponent of an exceptional monomial ideal
D.5.12.17 Gamma		computes the Gamma function for an exceptional monomial ideal given by L
D.5.12.18 convertdata		computes the ideal corresponding to C,L
D.5.12.19 lcmofall		computes the lcm of the denominators of the E-orders for all the charts
D.5.12.20 computemcm		computes the lcm of the denominators of the E-orders for one chart
D.5.12.21 constructH		construct the list of exceptional divisors accumulated at this chart
D.5.12.22 constructblwup		construct the ideal defining the map K[W] --> K[Wi], which gives the composition map of all the blowing up leading to this chart
D.5.12.23 constructlastblwup		construct the ideal defining the last blowup leading to this chart
D.5.12.24 genoutput		generates the output for visualization
D.5.12.25 salida		generates the output for one chart
D.5.12.26 iniD		creates a list of lists of zeros of size n
D.5.12.27 sumlist		sums two lists component to component
D.5.12.28 reslist		subtracts two lists component to component
D.5.12.29 multiplylist		multiplies a list by a number, component to component
D.5.12.30 dividelist		divides two lists component to component
D.5.12.31 createlist		creates a list of lists of two elements