论文标题
高斯高温函数的霍奇周期和特殊值的时期
Periods of Hodge cycles and special values of the Gauss' hypergeometric function
论文作者
论文摘要
我们计算了fermat品种的扰动周期。这使我们可以考虑由“简单”算术条件定义的霍奇周期的子空间。我们探讨了一些示例，并为此子空间的维度提供了上限。作为一个应用程序，我们发现涉及某些高斯的高几幅函数的显式表达式，这些函数在一个变量中在有理函数的字段上是代数。
We compute periods of perturbations of a Fermat variety. This allows us to consider a subspace of the Hodge cycles defined by "simple" arithmetic conditions. We explore some examples and give an upper bound for the dimension of this subspace. As an application, we find explicit expressions involving some Gauss' hypergeometric functions which are algebraic over the field of rational functions in one variable.
