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CharacteristicClasses :: ClassInChowRing

ClassInChowRing -- Gives the class of a hypersurface in the associated Chow ring of a product of projective spaces

Synopsis

Description

This method finds the class [V(f)] of the hypersurface V(f) where f is a polynomial in the graded coordinate ring of ℙn1 x...xℙn1. The class [V(f)] is an element of the Chow ring of ℙn1 x...xℙn1. Consider ℙ3xℙ4xℙ1

i1 : R=MultiProjCoordRing({3,4,1})

o1 = R

o1 : PolynomialRing
i2 : A=ChowRing(R)

o2 = A

o2 : QuotientRing
i3 : f=random({1,1,1},R);
i4 : ClassInChowRing(A,f)

o4 = h  + h  + h
      1    2    3

o4 : A

Ways to use ClassInChowRing :