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arxiv: math/0702679 · v1 · submitted 2007-02-23 · 🧮 math.NT · math.AG

Moment Zeta Functions for Toric Calabi-Yau Hypersurfaces

classification 🧮 math.NT math.AG
keywords zetacalabi-yaufunctionhypersurfacesmomentdefineddetaildetermine
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We study in detail the family of Calabi-Yau hypersurfaces defined by x_1+...+x_n+1/(x_1...x_n)=t over a finite field k. We determine its local and global monodromy and the trivial factors of its moment zeta function and Dwork's unit root zeta function.

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