论文标题
理性和非理性的阴影：超对称持续分数和超级模块化组
Shadows of rationals and irrationals: supersymmetric continued fractions and the super modular group
论文作者
论文摘要
本文试图将超级几何工具应用于算术。超字体对象是在系数的超交换环上定义的，我们考虑一个正好具有两个奇数变量的积分环。在这种情况下，均匀的数量（例如数字和持续分数）会加倍，具有经典的和nilpotent的部分。我们将Nilpotent部分称为阴影。我们研究了超对称持续馏分和正性模块化组的概念，并在研究其性质方面迈出了一些初步步骤。
This paper is an attempt to apply the tools of supergeometry to arithmetic. Supergeometric objects are defined over supercommutative rings of coefficients, and we consider an integral ring with exactly two odd variables. In this case the even quantities, such as numbers and continued fractions, are doubled, having both a classical and a nilpotent part. We refer to the nilpotent part as the shadow. We investigate the notions of supersymmetric continued fractions and the orthosymplectic modular group and make some initial steps toward studying their properties.
