A Generalization of Griffiths’ Theorem on Rational Integrals Ii
نویسنده
چکیده
We show that the Hodge and pole order filtrations are different for a sufficiently general singular projective hypersurface of degree 3 or 4 if the dimension of the projective space is at least 5 or 3 respectively. We then prove a variant of Wotzlaw’s formula for the Hodge filtration in case the singular points of a hypersurface are ordinary double points and their images by the e-fold Veronese embedding correspond to linearly independent vectors in the affine space where e is determined only by the dimension and the degree. This implies that Wotzlaw’s formula is true in case the above condition is satisfied for e = 1.
منابع مشابه
A Generalization of Griffiths’ Theorem on Rational Integrals
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