Changeset 4ac997 in git for Singular/LIB/deform.lib


Ignore:
Timestamp:
Dec 22, 2000, 2:43:10 PM (23 years ago)
Author:
Gert-Martin Greuel <greuel@…>
Branches:
(u'spielwiese', 'fe61d9c35bf7c61f2b6cbf1b56e25e2f08d536cc')
Children:
558eb2e4904ef3d1c00dc5ccf1cdf5d4d5e4532a
Parents:
5a1141ebfb120e63485f9ef6b7dd5dc003ac29bf
Message:
* GMG: Kosmetik


git-svn-id: file:///usr/local/Singular/svn/trunk@4979 2c84dea3-7e68-4137-9b89-c4e89433aadc
File:
1 edited

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  • Singular/LIB/deform.lib

    r5a1141 r4ac997  
    1 // $Id: deform.lib,v 1.22 2000-12-19 15:05:19 anne Exp $
     1// $Id: deform.lib,v 1.23 2000-12-22 13:41:22 greuel Exp $
    22// author: Bernd Martin email: martin@math.tu-cottbus.de
    33//(bm, last modified 4/98)
    44///////////////////////////////////////////////////////////////////////////////
    5 version="$Id: deform.lib,v 1.22 2000-12-19 15:05:19 anne Exp $";
     5version="$Id: deform.lib,v 1.23 2000-12-22 13:41:22 greuel Exp $";
    66category="Singularities";
    77info="
    8 LIBRARY:  deform.lib       PROCEDURES FOR COMPUTING MINIVERSAL DEFORMATION
    9 
    10 AUTHOR: Bernd Martin, email: martin@math.tu-cottbus.de
     8LIBRARY:  deform.lib    Miniversal Deformation of Singularities and Modules
     9AUTHOR:   Bernd Martin, email: martin@math.tu-cottbus.de
    1110
    1211PROCEDURES:
     
    1716 kill_rings([\"prefix\"])  kills the exported rings from above
    1817";
    19 ///////////////////////////////////////////////////////////////////////////////
     18
    2019LIB "inout.lib";
    2120LIB "general.lib";
     
    2423LIB "sing.lib";
    2524///////////////////////////////////////////////////////////////////////////////
     25
    2626proc versal (ideal Fo,list #)
    2727"USAGE:   versal(Fo[,d,any]); Fo=ideal, d=int, any=list
     
    179179       Cup = jet(Cup,@d,@jv);
    180180     }
    181 //------- express obstructions in kbase of T_2  --------------------------------
     181//------- express obstructions in kbase of T_2  -------------------------------
    182182     if ( @noObstr==0 )
    183183     {  Cup' = reduce(Cup,PreO');
     
    294294}
    295295///////////////////////////////////////////////////////////////////////////////
     296
    296297proc mod_versal(matrix Mo, ideal I, list #)
    297 "
    298 USAGE:   mod_versal(Mo,I[,d,any]); I=ideal, M=module, d=int, any =list
     298"USAGE:   mod_versal(Mo,I[,d,any]); I=ideal, M=module, d=int, any =list
    299299COMUPTE: miniversal deformation of coker(Mo) over Qo=Po/Io, Po=basering;
    300300CREATE:  Ringsr (exported):
     
    545545  kill Px,Qx,So;
    546546}
    547 //=============================================================================
    548547///////////////////////////////////////////////////////////////////////////////
    549548proc kill_rings(list #)
     
    641640   return(iv,M1,kb1,lift1,L');
    642641}
    643 //////////////////////////////////////////////////////////////////////////////
     642///////////////////////////////////////////////////////////////////////////////
    644643proc get_rings(ideal Io,int e1,int switch, list #)
    645644"
     
    678677  return();
    679678}
    680 //////////////////////////////////////////////////////////////////////////////
     679///////////////////////////////////////////////////////////////////////////////
    681680proc get_inf_def(list #)
    682681"
     
    705704//////////////////////////////////////////////////////////////////////////////
    706705proc lift_rel_kb (module N, module M, list #)
    707 "
    708 USAGE:   lift_rel_kb(N,M[,kbaseM,p]);
     706"USAGE:   lift_rel_kb(N,M[,kbaseM,p]);
    709707ASSUME:  [p a monomial ] or the product of all variables
    710          N, M modules of same rank,
    711          M depending only on variables not in p and vdim(M) finite in this ring,
     708         N, M modules of same rank, M depending only on variables not in p
     709         and vdim(M) is finite in this ring,
    712710         [ kbaseM the kbase of M in the subring given by variables not in p ]
    713          warning: check that these assumtions are fulfilled!
     711         warning: these assumtions are not checked by the procedure
    714712RETURN:  matrix A, whose j-th columnes present the coeff's of N[j] in kbaseM,
    715713         i.e. kbaseM*A = reduce(N,std(M))
     
    882880  return(degA);
    883881}
    884 //////////////////////////////////////////////////////////////////////////////////
     882///////////////////////////////////////////////////////////////////////////////
    885883proc homog_test(intvec w_vec, matrix Mo, matrix A)
    886884"
     
    920918  return(@nv);
    921919}
    922 //////////////////////////////////////////////////////////////////////////////////
     920///////////////////////////////////////////////////////////////////////////////
    923921proc homog_t(intvec d_vec, matrix Fo, matrix A)
    924922"
     
    951949   return(dv);
    952950}
    953 
     951///////////////////////////////////////////////////////////////////////////////
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