D.5.2.19 chProdE

Usage:

chProdE(c, C); c, C lists of polynomials

Return:

list of polynomials

Purpose:

computes the list of Chern classes of the product
of two vector bundles in terms of their Chern clases

Note:

makes sense only for (lists of) polynomials;
uses elimination, hence very inefficient;
included only for comparison with chProd(...)

LIB "chern.lib";
ring H = 0, ( 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( chProdE(l,  L) );