English

Frobenius polynomials for Calabi-Yau equations

Algebraic Geometry 2008-09-15 v3 Number Theory

Abstract

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 P1\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.

Keywords

Cite

@article{arxiv.0802.3994,
  title  = {Frobenius polynomials for Calabi-Yau equations},
  author = {Kira Samol and Duco van Straten},
  journal= {arXiv preprint arXiv:0802.3994},
  year   = {2008}
}

Comments

corrected typos, remarks to sections 2.4 and 3.2. added

R2 v1 2026-06-21T10:16:23.335Z