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D.5.17.12 totalChernClass

Procedure from library schubert.lib (see schubert_lib).

Usage:
totalChernClass(S); S sheaf

Return:
poly

Input:
S is a sheaf

Output:
a polynomial which is the total Chern class of a sheaf

Example:
 
LIB "schubert.lib";
variety X;
X.dimension = 4;
ring r = 0,(c(1..2),d(1..3)),wp(1..2,1..3);
setring r;
X.baseRing = r;
poly c = 1 + c(1) + c(2);
poly ch = 2 + logg(c,4);
sheaf E = makeSheaf(X,ch);
sheaf S = E^3;
totalChernClass(S);
==> 18*c(1)^2*c(2)+9*c(2)^2+6*c(1)^3+30*c(1)*c(2)+11*c(1)^2+10*c(2)+6*c(1)+1
See also: ChernClass; topChernClass; totalSegreClass.