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D.15.3.5 chern
Procedure from librarychern.lib (see chern_lib).
- Usage:
- chern(s); s list of polynomials
- Return:
- list of polynomials
- Purpose:
- computes the list of the Chern classes up to degree N
in terms of the Segre classes from s
- Note:
LIB "chern.lib"; ring r = 0, (s(1..3)), dp; list l=s(1..3); // Chern classes in Segre classes s(1), s(2), s(3) print( chern(l) ); ==> [1]: ==> -s(1) ==> [2]: ==> s(1)^2-s(2) ==> [3]: ==> -s(1)^3+2*s(1)*s(2)-s(3) // This procedure is inverse to segre(...). Indeed: print( segre(chern(l), 3) ); ==> [1]: ==> s(1) ==> [2]: ==> s(2) ==> [3]: ==> s(3) |