Singular Manual: chSymm2L

| #### D.15.3.29 chSymm2L Procedure from library `chern.lib` (see chern_lib). Usage: chSymm2L(r, c); r integer, c list of polynomials Return: list of polynomials Purpose: computes the Chern classes of the second symmetric power of a vector bundle Note: Implementation of the formula of Lascoux, the Schur polynomials are computed using the second Jacobi-Trudi formula (in terms of the Chern classes) Example:
    LIB "chern.lib";
    ring r=0, (c(1..2)), dp;
    list l=c(1..2);
    // the Chern classes of the second symmetric power of a vector bundle of rank 2
    print( chSymm2L(2, l));
    ==> [1]:
    ==>    3
    ==> [2]:
    ==>    [1]:
    ==>       3*c(1)
    ==>    [2]:
    ==>       2*c(1)^2+4*c(2)
    ==>    [3]:
    ==>       4*c(1)*c(2)

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