论文标题
精致的Humbert不变的三元形式
The Refined Humbert Invariant for Imprimitive Ternary Forms
论文作者
论文摘要
在本文中，我们讨论了具有复杂乘法的Abelian产品表面的精致Humbert不变性。更准确地说，我们给出了二次形式的分类，这些形式等同于某些精制的humber不变$ q _ {（a，θ）}，$ a $ a $与$ e \ times e不相关，$ e $，$ e $具有复杂的乘法，而$ q _ {（a，θ）$是一种改进的形式。为了给出这种分类，我们在整体三元和二元二元形式的理论中使用并得出了一些结果。
In this paper, we discuss the refined Humbert invariant for abelian product surfaces with complex multiplication. More precisely, we give the classification of quadratic forms which are equivalent to some refined Humber invariant $q_{(A,θ)},$ where $A$ is isogenous to $E\times E,$ where $E$ has complex multiplication, and $q_{(A,θ)}$ is an imprimitive form. To give this classification, we use and derive some results in the theory of integral ternary and binary quadratic forms.
