Singular Manual: chSymm

| #### D.5.2.28 chSymm Procedure from library `chern.lib` (see chern_lib). Usage: chSymm(k, r, c[, pos]); k, r integers, c list of polynomials, pos list of integers Return: list with entries: int N, list of polynomials l Purpose: computes the rank and the Chern classes of the symmetric power of a vector bundle Note: for the second symmetric power chSymm2L(...) could be faster Example:
    LIB "chern.lib";
    ring r=0, (c(1..5)), dp;
    list l=c(1..5);
    // the rank and the Chern classes of the second symmetric power of a vector bundle of rank 3
    print( chSymm(2, 3, l) );
    // the rank and the first 3 Chern classes
    // of the second symmetric power of a vector bundle of rank 5
    print( chSymm(2, 5, l, 1, 2, 3) );

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