Cohomologically Cofinite Complexes

REFERENCES

• Alonso , L. , Jeremias A. , Lipman , J. ( 1997 ). Local homology and cohomology on schemes . Ann. Sci. ENS 30 : 1 – 39 . Correction: Availabe online at http://www.math.purdue.edu/lipman/papers/homologyfix.pdf.
   Web of Science ®Google Scholar
• Alonso , L. , Jeremias , A. , Lipman , J. ( 2013 ). Duality and flat base change on formal schemes . In: Studies in Duality on Noetherian Formal Schemes and Non-Noetherian Ordinary Schemes , Contemporary Mathematics, 244 pp. 3 – 90 . AMS, 1999. Correction: Proc. AMS 131:351–357.
   Google Scholar
• Bourbaki , N. ( 1989 ). Commutative Algebra , Chapters 1–7 , Springer .
   Google Scholar
• Grothendieck , A. , Dieudonné , J. ( 1964 ). Éléments de Géometrie Algébrique IV. Part one . Publ. Math. IHES 20 .
   Google Scholar
• Hartshorne , R. ( 1977 ). Algebraic Geometry , Berlin , Springer-Verlag .
   Google Scholar
• Hartshorne , R. ( 1970 ). Affine Duality and Cofiniteness. Invent. Math. 9 : 145 – 164 .
   Web of Science ®Google Scholar
• Keller , B. ( 1994 ). Deriving DG categories . Ann. Sci. Ecole Norm. Sup. 27 : 63 – 102 .
   Web of Science ®Google Scholar
• Kashiwara , M. , Schapira , P. ( 2012 ). Deformation quantization modules . Astérisque 345 .
   Google Scholar
• Lipman , J. ( 2002 ). Lectures on local cohomology and duality, in “Local cohomology and its applications” , Lect. Notes Pure Appl. Math. 226 , New York , Marcel Dekker, Inc. , pp. 39 – 89 .
   Google Scholar
• Matlis , E. ( 1958 ). Injective modules over noetherian rings . Pacific J. Math. 8 : 511 – 528 .
   Google Scholar
• Porta , M. , Shaul , L. , Yekutieli , A. On the homology of completion and torsion . Algebr. Represent. Theor. (published online 2012 , doi: DOI 10.1007/s10468-012-9385-8) .
   Web of Science ®Google Scholar
• Porta , M. , Shaul , L. , Yekutieli , A. Completion by derived double centralizer . Algebr. Represent. Theor. (published online 2013 , doi: DOI 10.1007/s10468-013-9405-3) .
   Web of Science ®Google Scholar
• Hartshorne , R. ( 1966 ). “Residues and Duality,” Lecture Notes in Math. 20 , Berlin , Springer-Verlag .
   Google Scholar
• Spaltenstein , N. ( 1988 ). Resolutions of unbounded complexes . Compositio Math. 65 ( 2 ): 121 – 154 .
   Web of Science ®Google Scholar
• Weibel , C. ( 1994 ). An Introduction to Homological Algebra . Cambridge Univ. Press .
   Google Scholar
• Yekutieli , A. ( 1998 ). Smooth formal embeddings and the residue complex . Can. J. Math. 50 : 863 – 896 .
   Web of Science ®Google Scholar
• Yekutieli , A. ( 2011 ). On flatness and completion for infinitely generated modules over noetherian rings . Comm. Algebra 39 ( 11 ): 4221 – 4245 .
   Web of Science ®Google Scholar
• Communicated by S. Kleiman.
   Google Scholar