Smooth Formal Embeddings and the Residue Complex

DOI10.4153/CJM-1998-046-1zbMath0932.14007arXivalg-geom/9510007MaRDI QIDQ4213974

Amnon Yekutieli

Publication date: 15 March 2000

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9510007

zbMATH Keywords

Grothendieck dualityDe Rham cohomologyGrothendieck residue complexsmooth formal embedding

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Local cohomology and algebraic geometry (14B15) Embeddings in algebraic geometry (14E25) Formal neighborhoods in algebraic geometry (14B20) Residues for several complex variables (32A27)

Related Items (19)

Infinitesimal Lifting and Jacobi Criterion for Smoothness on Formal Schemes ⋮ Dedualizing complexes and MGM duality ⋮ Tensor product of dualizing complexes over a field ⋮ Deformation of formal schemes through local homology ⋮ Rigid complexes via DG algebras ⋮ Cohomology of projective space seen by residual complex ⋮ On global deformation quantization in the algebraic case ⋮ Residues and differential operators on schemes ⋮ Triangulated Matlis equivalence ⋮ Basic deformation theory of smooth formal schemes ⋮ Applications of duality theory to Cousin complexes ⋮ Some remarks on Beilinson adeles ⋮ On the homology of completion and torsion ⋮ The Action of Adeles on the Residue Complex ⋮ Injective DG-modules over non-positive DG-rings ⋮ Rigid dualizing complexes over commutative rings ⋮ Local structure theorems for smooth maps of formal schemes ⋮ Completion and torsion over commutative DG rings ⋮ Cohomologically Cofinite Complexes

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