AI 中文总结
该研究通过推广快速衰减上同调理论定义了E-周期，将含E-函数的绝对收敛积分实现为周期配对矩阵元，并将该上同调推广到奇异代数簇，证明了Nori基本引理的对应版本。
AI 中文摘要
我们通过将Hien的快速衰减上同调理论应用于比正则函数扭曲更大类的代数簇上可积联络，定义了指数周期类的一个扩充。主要且具启发性的例子由与E-算子相关的对象给出。这提供了一种将涉及E-函数的一类绝对收敛积分实现为周期配对的矩阵元的方法，我们称之为E-周期。此外，我们将快速衰减上同调推广到奇异代数簇，并在此情形下证明了Nori基本引理的一个版本。
英文摘要
We define an enlargement of the class of exponential periods by applying the rapid decay cohomology theory of Hien to a larger class of integrable connections on varieties than those twisted by a regular function. The main and motivating examples are given by those associated to $E$-operators. This delivers a method to realise a class of absolutely convergent integrals involving $E$-functions as matrix elements of a period pairing, which we call $E$-periods. Furthermore, we generalise rapid decay cohomology to singular varieties and prove a version of Nori's basic lemma in this setting.
Comments23 pages, 2 figures. Minor rephrasing, added addresses
