Orbifold Zeta Functions for Dual Invertible Polynomials
نویسندگان
چکیده
منابع مشابه
Orbifold Euler Characteristics for Dual Invertible Polynomials
To construct mirror symmetric Landau–Ginzburg models, P. Berglund, T. Hübsch and M. Henningson considered a pair (f, G) consisting of an invertible polynomial f and an abelian group G of its symmetries together with a dual pair (f̃ , G̃). Here we study the reduced orbifold Euler characteristics of the Milnor fibers of f and f̃ with the actions of the groups G and G̃ respectively and show that they ...
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A generalization of Arnold’s strange duality to invertible polynomials in three variables by the first author and A. Takahashi includes the following relation. For some invertible polynomials f the Saito dual of the reduced monodromy zeta function of f coincides with a formal “root” of the reduced monodromy zeta function of its Berglund– Hübsch transpose f . Here we give a geometric interpretat...
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In this paper, we prove the rationality of Igusa’s local zeta functions of semiquasihomogeneous polynomials with coefficients in a non-archimedean local field K. The proof of this result is based on Igusa’s stationary phase formula and some ideas on Néron π-desingularization.
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Let F be a number field and f ∈ F [x1, . . . , xn] \ F . To any completion K of F and any character κ of the group of units of the valuation ring of K one associates Igusa’s local zeta function Z(κ, f, s). The holomorphy conjecture states that for all except a finite number of completions K of F we have that if the order of κ does not divide the order of any eigenvalue of the local monodromy of...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2016
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091516000043