spielwiese
Last change
on this file since 1ebec3 was
6051d87,
checked in by Oleksandr Motsak <motsak@…>, 12 years ago
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FIX: Manual examples need adaptation to be tests (due to HW/build-dependent output)
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-
Property mode set to
100644
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File size:
1.0 KB
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1 | LIB "tst.lib"; tst_init(); |
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2 | LIB "matrix.lib"; LIB "sing.lib"; |
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3 | int n = 4; |
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4 | int m = 3; |
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5 | int N = n*(n+1) div 2; // will become number of variables |
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6 | ring R = 32003,x(1..N),dp; |
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7 | matrix X = symmat(n); // proc from matrix.lib |
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8 | // creates the symmetric generic nxn matrix |
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9 | print(X); |
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10 | ideal J = minor(X,m); |
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11 | J=std(J); |
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12 | // Kaehler differentials D_k(R) |
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13 | // of R=k[x1..xn]/J: |
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14 | module D = J*freemodule(N)+transpose(jacob(J)); |
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15 | ncols(D); |
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16 | nrows(D); |
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17 | // |
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18 | // Note: D is a submodule with 110 generators of a free module |
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19 | // of rank 10 over a polynomial ring in 10 variables. |
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20 | // Compute a full resolution of D with sres. |
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21 | // This takes about 17 sec on a Mac PB 520c and 2 sec an a HP 735 |
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22 | int time = timer; |
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23 | module sD = std(D); |
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24 | list Dres = sres(sD,0); // the full resolution |
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25 | // timer-time; // time used for std + sres |
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26 | intmat B = betti(Dres); |
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27 | print(B,"betti"); |
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28 | N-ncols(B)+1; // the desired depth |
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29 | tst_status(1);$ |
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