Singular Manual: chern

| #### D.5.2.5 chern Procedure from library `chern.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: Example:
    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)

User manual for Singular version 4.4.1, 2025, generated by texi2html.