Homotopical algebraic context over differential operators

IF 0.5 4区数学 Journal of Homotopy and Related Structures Pub Date : 2018-09-18 DOI:10.1007/s40062-018-0213-7

Gennaro Di Brino, Damjan Pištalo, Norbert Poncin

引用次数: 11

Abstract

Building on our previous work, we show that the category of non-negatively graded chain complexes of \(\mathcal {D}_X\)-modules – where X is a smooth affine algebraic variety over an algebraically closed field of characteristic zero – fits into a homotopical algebraic context in the sense of To?n and Vezzosi.

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微分算子上的同局部代数环境

在我们先前工作的基础上，我们证明了\(\mathcal {D}_X\) -模的非负梯度链配合物的范畴——其中X是特征为零的代数闭域上的光滑仿射代数变体——在To?n和Vezzosi。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

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期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.

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