RESIDUES AND DIFFERENTIAL OPERATORS ON SCHEMES
RESIDUES AND DIFFERENTIAL OPERATORS ON SCHEMES
复制标题
方案上的残差和微分算子
DOI：
10.1215/s0012-7094-98-09509-6
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发表时间：
1996
影响因子：
2.5
通讯作者：
Amnon Yekutieli
中科院分区：
文献类型：
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作者：
Amnon Yekutieli
Beilinson完备代数是完备局部环的推广，具有丰富的代数-解析结构。这些代数是在我的论文“Beilinson完备代数上的迹和微分算子”，Compositio Math.99（1995）中介绍的。本文利用BCAs给出了Grothendieck剩余复形在一个代数格式上的显式构造。这种结构揭示了新的性质的剩余复合物，特别是它与微分算子的相互作用。应用包括：（i）微分算子环的代数结构的结果;（ii）德拉姆同调的niveau谱序列的分析;（iii）德拉姆同调w.r.t.（iv）曲线的交上同调D-模的代数描述。
Beilinson Completion Algebras (BCAs) are generalizations of complete local rings, and have a rich algebraic-analytic structure. These algebras were introduced in my paper "Traces and Differential Operators over Beilinson Completion Algebras", Compositio Math. 99 (1995). In the present paper BCAs are used to give an explicit construction of the Grothendieck residue complex on an algebraic scheme. This construction reveals new properties of the residue complex, and in particular its interaction with differential operators. Applications include: (i) results on the algebraic structure of rings of differential operators; (ii) an analysis of the niveau spectral sequence of De Rham homology; (iii) a proof of the contravariance of De Rham homology w.r.t. etale morphisms; (iv) an algebraic description of the intersection cohomology D-module of a curve.