Frobenius polynomials for Calabi-Yau equations

Details Frobenius polynomials for Calabi-Yau equations Frobenius polynomials for Calabi-Yau equations

2008-02-27

arxiv.org/abs/0802.3994v3

Mathematics

Algebraic Geometry

corrected typos, remarks to sections 2.4 and 3.2. added

Scientific paper

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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