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D.15.4.24 ChernRootsHom

Procedure from library chern.lib (see chern_lib).

Usage:
ChernRootsHom(a, b); a, b lists of polynomials

Return:
list of polynomials

Purpose:
for a vector bundle E with Chern roots a and a vector bundle F with Chern roots b, computes the Chern roots of Hom(E, F)

Note:

Example:
 
LIB "chern.lib";
ring r=0, (a(1..2), b(1..3)), dp;
list l=a(1..2);
list L=b(1..3);
// Let E be a vector bundle with Chern roots a(1). a(2),
// let F be a vector bundle with CHern roots b(1), b(2), b(3).
// Then the Chern roots of Hom(E, F) are
print(ChernRootsHom(l, L));
==> [1]:
==>    -a(1)+b(1)
==> [2]:
==>    -a(1)+b(2)
==> [3]:
==>    -a(1)+b(3)
==> [4]:
==>    -a(2)+b(1)
==> [5]:
==>    -a(2)+b(2)
==> [6]:
==>    -a(2)+b(3)