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摘要翻译：
本文利用Dwork-Katz方法，并从形式群律的角度，研究了有限域上Calabi-Yau变体的Dwork族单位根的变化。得到了远离Hasse轨迹的单位根的p-adic解析公式。
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英文标题：
《Variation of the unit roots along the Dwork family of Calabi-Yau
varieties》
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作者：
Jeng-Daw Yu
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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一级分类：Mathematics 数学
二级分类：Number Theory 数论
分类描述：Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数，丢番图方程，解析数论，代数数论，算术几何，伽罗瓦理论
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英文摘要：
We study the variation of unit roots of the Dwork families of Calabi-Yau varieties over a finite field by the method of Dwork-Katz and also from the point of view of formal group laws. A p-adic analytic formula for the unit roots away from the Hasse locus is obtained.
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PDF链接：
https://arxiv.org/pdf/0708.2500
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