Singular Manual: chProd

| #### D.5.2.18 chProd Procedure from library `chern.lib` (see chern_lib). Usage: chProd(r, c, R, C [, N]); r, R polynomials (integers); c, C lists of polynomials, N integer Return: list of polynomials Purpose: computes the list of Chern classes of the product of two vector bundles in terms of their ranks and Chern clases [up to degree N] Note: Example:
    LIB "chern.lib";
    ring H = 0, ( r, R, c(1..3), C(1..2) ), dp;
    list l=c(1..3);
    list L=C(1..2);
    // the Chern classes of the tensor product of a vector bundle E of rank 3
    // with Chern classes c(1), c(2), c(3)
    // and a vector bundle F of rank 2 with Chern classes C(1) and C(2):
    print( chProd(3, l, 2, L) );
    // the first two Chern classes of the tensor product
    // of a vector bundle E of rank r with Chern classes c(1) and c(2)
    // and a vector bundle G of rank R with Chern classes C(1) and C(2)
    // this gives the Chern classes of a tensor product on a complex surface
    l=c(1..2);
    L=C(1..2);
    print( chProd(r, l, R, L, 2 ) );

User manual for Singular version 4.3.2, 2023, generated by texi2html.