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- W2088791878 abstract "Abstract We show that for a hypersurface Batyrev's stringy E -function can be seen as a residue of the Hodge zeta function, a specialization of the motivic zeta function of Denef and Loeser. This is a nice application of inversion of adjunction. If an affine hypersurface is given by a polynomial that is non-degenerate with respect to its Newton polyhedron, then the motivic zeta function and thus the stringy E -function can be computed from this Newton polyhedron (by work of Artal, Cassou-Noguès, Luengo and Melle based on an algorithm of Denef and Hoornaert). We use this procedure to obtain an easy way to compute the contribution of a Brieskorn singularity to the stringy E -function. As a corollary, we prove that stringy Hodge numbers of varieties with a certain class of strictly canonical Brieskorn singularities are nonnegative. We conclude by computing an interesting 6-dimensional example. It shows that a result, implying nonnegativity of stringy Hodge numbers in lower dimensional cases, obtained in our previous paper, is not true in higher dimension." @default.
- W2088791878 created "2016-06-24" @default.
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- W2088791878 date "2009-01-30" @default.
- W2088791878 modified "2023-09-23" @default.
- W2088791878 title "Stringy E-functions of hypersurfaces and of Brieskorn singularities" @default.
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- W2088791878 doi "https://doi.org/10.1515/advgeom.2009.013" @default.
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