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Are there algorithmic tools for computing poincare residues?

In Schnell's note on Computing Picard-Fuchs Equations he gives a recursive method for computing residues on hypersurfaces. … The main test examples I am looking at are Fermat hypersurfaces (defined by $F=0$) and the differential forms $$ \frac{\Omega}{F} $$ where $$ \Omega = \sum_{i=0}^n(-1)^i z_idz_0\wedge\cdots\wedge\hat{dz_i …
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