论文标题
关于代数不规则的Riemann-Hilbert对应的注释
Note On The Algebraic Irregular Riemann-Hilbert Correspondence
论文作者
论文摘要
本文的主题是作者在[Arxiv：1910.09954]中提到的不规则Riemann-Hilbert通信的代数版本。特别是，我们证明了平滑代数品种上的代数载体D模块的三角态类别与代数C构造增强的IND-SHEAVE之间的类别等效性。此外，我们表明，在代数C构造的增强的三角形类别上存在T结构，其心脏与Abelian类别的代数载体D-Modoles相当。此外，我们将考虑其心脏的简单对象以及其心脏的最小延伸。
The subject of this paper is an algebraic version of the irregular Riemann-Hilbert correspondence which was mentioned in [arXiv:1910.09954] by the author. In particular, we prove an equivalence of categories between the triangulated category of algebraic holonomic D-modules on a smooth algebraic variety and the one of algebraic C-constructible enhanced ind-sheaves. Moreover we show that there exists a t-structure on the triangulated category of algebraic C-constructible enhanced ind-sheaves whose heart is equivalent to the abelian category of algebraic holonomic D-modules. Furthermore we shall consider simple objects of its heart and minimal extensions of objects of its heart.
