1上的D模块|1超曲线
D-modules on 1|1 Supercurves
摘要：
据了解，每1|在一维超曲线X上，有一个对偶超曲线\hat{X}和一个超对角线Δ。我们证明了X上的D-模范畴，\hat{X}和Δ是等价的.这是由关于D-模和纯奇浸没的一个更一般的结果得出的。等价关系保持张量积，并将向量丛化为向量丛。研究了具有联络的线丛，并给出了X为超椭圆曲线的例子。
英文摘要：
It is known that to every 1|1 dimensional supercurve X there is associated a dual supercurve \hat{X}, and a superdiagonal Δin their product. We establish that the categories of D-modules on X, \hat{X}, and Δare equivalent. This follows from a more general result about D-modules and purely odd submersions. The equivalences preserve tensor products, and take vector bundles to vector bundles. Line bundles with connection are studied, and examples are given where X is a superelliptic curve.
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