Changeset 80a0f0 in git for Singular/LIB/sing.lib

Timestamp:

Feb 6, 2001, 12:35:08 PM (23 years ago)

Author:

Anne Frühbis-Krüger <anne@…>

Branches:

(u'spielwiese', '17f1d200f27c5bd38f5dfc6e8a0879242279d1d8')

Children:

9528ea4c7d7d24a0cc213977d3255f17cf3c552d

Parents:

1f9258961f64b1b13f7a71278da36f67228bede4

Message:

*anne: corrected some line breaks


git-svn-id: file:///usr/local/Singular/svn/trunk@5192 2c84dea3-7e68-4137-9b89-c4e89433aadc

File:

• Singular/LIB/sing.lib (modified) (7 diffs)

Singular/LIB/sing.lib

@@ -1 @@
-// $Id: sing.lib,v 1.23 2001-01-16 13:48:42 Singular Exp $
+// $Id: sing.lib,v 1.24 2001-02-06 11:35:08 anne Exp $
 //(GMG/BM, last modified 26.06.96)
 ///////////////////////////////////////////////////////////////////////////////
-version="$Id: sing.lib,v 1.23 2001-01-16 13:48:42 Singular Exp $";
+version="$Id: sing.lib,v 1.24 2001-02-06 11:35:08 anne Exp $";
 category="Singularities";
 info="
 LIBRARY:  sing.lib      Invariants of Singularities
-AUTHORS:  Gert-Martin Greuel, email: greuel@mathematik.uni-kl.de
+AUTHORS:  Gert-Martin Greuel, email: greuel@mathematik.uni-kl.de @*
           Bernd Martin, email: martin@math.tu-cottbus.de
 
@@ -143 +143 @@
 "USAGE:   is_is(id);  id ideal or poly
 RETURN:  intvec = sequence of dimensions of singular loci of ideals
-         generated by id[1]..id[i], k = 1..size(id); dim(0-ideal) = -1;
+         generated by id[1]..id[i], k = 1..size(id); @*
+         dim(0-ideal) = -1;
          id defines an isolated singularity if last number is 0
 NOTE:    printlevel >=0: display comments (default)
@@ -179 +180 @@
 NOTE:    let R be the basering and id a submodule of R^n. The procedure checks
          injectivity of multiplication with f on R^n/id. The basering may be a
-         //**quotient ring
+         quotient ring
 EXAMPLE: example is_reg; shows an example
 "
@@ -387 +388 @@
          are variables of the basering
 COMPUTE: the spectral numbers of the w-homogeneous polynomial f, computed in a
-         ring of charcteristik 0
+         ring of characteristic 0
 RETURN:  intvec  d,s1,...,su  where:
          d = w-degree(f)  and  si/d = ith spectral-number(f)
@@ -439 +440 @@
 RETURN:  standard basis of Tjurina-module of id,
          of type module if id=ideal, resp. of type ideal if id=poly.
-         If a second argument is present (of any type) return a list:
+         If a second argument is present (of any type) return a list: @*
            [1] = Tjurina number,
            [2] = k-basis of miniversal deformation,
@@ -597 +598 @@
             [1]= T_2(id)
             [2]= standard basis of id (ideal)
-            [3]= module of relations of id (=1st syzygy module of id)
+            [3]= module of relations of id (=1st syzygy module of id) @*
             [4]= presentation of syz/kos
             [5]= relations of Hom_P([3]/kos,R), lifted to P
@@ -662 +663 @@
 proc T_12 (ideal i, list #)
 "USAGE:   T_12(i[,any]);  i = ideal
-RETURN:  T_12(i): list of 2 modules:
-             std basis of T_1-module =T_1(i), 1st order deformations
-             std basid of T_2-module =T_2(i), obstructions of R=P/i
+RETURN:  T_12(i): list of 2 modules: @*
+           *  standard basis of T_1-module =T_1(i), 1st order deformations @*
+           *  standard basis of T_2-module =T_2(i), obstructions of R=P/i @*
          If a second argument is present (of any type) return a list of
-         9 modules, matrices, integers:
+         9 modules, matrices, integers: @*
              [1]= standard basis of T_1-module
              [2]= standard basis of T_2-module
              [3]= vdim of T_1
              [4]= vdim of T_2
-             [5]= matrix, whose cols present infinitesimal deformations
-             [6]= matrix, whose cols are generators of relations of i (=syz(i))
-             [7]= matrix, presenting Hom_P(syz/kos,R), lifted to P
+             [5]= matrix, whose cols present infinitesimal deformations @*
+             [6]= matrix, whose cols are generators of relations of i(=syz(i)) @*
+             [7]= matrix, presenting Hom_P(syz/kos,R), lifted to P @*
              [8]= presentation of T_1-module, no std basis
              [9]= presentation of T_2-module, no std basis