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arxiv: 0802.3994 · v3 · submitted 2008-02-27 · 🧮 math.AG · math.NT

Frobenius polynomials for Calabi-Yau equations

classification 🧮 math.AG math.NT
keywords calabi-yaufrobeniusmethodcoupledegreedescribedeterminedworks
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We describe a variation of Dworks unit-root method to determine the degree four Frobenius polynomial for members of a 1-modulus Calabi-Yau family over $\mathbb{P}^1$ in terms of the holomorphic period near a point of maximal unipotent monodromy. The method is illustrated on a couple of examples.

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