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D.15.3.24 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)
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