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arXiv · 2004.13518

Note On The Algebraic Irregular Riemann-Hilbert Correspondence

Yohei Ito
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Abstract

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.

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Yohei Ito. 2020-04-26. Note On The Algebraic Irregular Riemann-Hilbert Correspondence. https://arxiv.org/abs/2004.13518

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