The papers *Periods of integrals on algebraic manifolds* by Griffiths is often quoted as the first instance where the Hodge ring of a smooth projective hypersurface (say defined by the homogenous polynomial $f$) is related to the jacobian ring of $f$.


However, this paper is divided in three parts of equal length (about 70 pages each, so more than 200 pages in total) and the references I have don't give the precise section nor a set of pages where the result might be found. I have tried to flip through the paper but with this superficial approach, I haven't been able to locate the computation of the Hodge ring of a smooth projective hypersurface in terms of the Jacobian ring of the homogeneous polynomial defining it.


Does anyone know the precise location of this computation in Griffth's papers?


Thanks in advance.



Precise reference in Griffiths' papers : computation of the Hodge theory of a smooth projective hypersurface
As mentioned in the post pointed out by Jason, the correct reference is *On the Periods of Certain Rational Integrals II* by
P. Griffiths,
Ann. Math. 90, no. 3 (1969), pp. 496-541. The best place to look at is §10, where the results are explained using sheaf cohomology.


