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D.15.4.26 ChernRootsSymm

Procedure from library chern.lib (see chern_lib).

Usage:
ChernRootsSymm(m, l); m integer, l a list of polynomials

Return:
list of polynomials

Purpose:
computes the Chern roots of m-th symmetric power
of a vector bundle with Chern roots from l

Note:

Example:
 
LIB "chern.lib";
ring r=0, (a(1..3)), dp;
list l=a(1..3);
// the Chern roots of the second symmetric power of a vector bundle
// with Chern  roots a(1), a(2), a(3)
print( ChernRootsSymm(2, l) );
==> [1]:
==>    2*a(1)
==> [2]:
==>    a(1)+a(2)
==> [3]:
==>    a(1)+a(3)
==> [4]:
==>    2*a(2)
==> [5]:
==>    a(2)+a(3)
==> [6]:
==>    2*a(3)