Residues and duality for algebraic schemes

Pramathanath Sastry

Compositio Mathematica (1996)

  • Volume: 101, Issue: 2, page 133-178
  • ISSN: 0010-437X

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Sastry, Pramathanath. "Residues and duality for algebraic schemes." Compositio Mathematica 101.2 (1996): 133-178. <http://eudml.org/doc/90441>.

@article{Sastry1996,
author = {Sastry, Pramathanath},
journal = {Compositio Mathematica},
keywords = {trace structure; Grothendieck duality theory; residue complex; sheaf of regular differentials; Cousin complexes},
language = {eng},
number = {2},
pages = {133-178},
publisher = {Kluwer Academic Publishers},
title = {Residues and duality for algebraic schemes},
url = {http://eudml.org/doc/90441},
volume = {101},
year = {1996},
}

TY - JOUR
AU - Sastry, Pramathanath
TI - Residues and duality for algebraic schemes
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 101
IS - 2
SP - 133
EP - 178
LA - eng
KW - trace structure; Grothendieck duality theory; residue complex; sheaf of regular differentials; Cousin complexes
UR - http://eudml.org/doc/90441
ER -

References

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  7. 7 Hartshorne, R.: Residues and Duality, volume 20 of Lecture Notes in Mathematics. Springer-Verlag, Heidelberg, 1966. Zbl0212.26101MR222093
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  11. 11 Huang, I-C.: Functorial construction of cousin complexes. preprint, 1993. Zbl0814.13011
  12. 12 Huang, I-C.: Psuedofunctors on modules with 0-dimensional support, volume 114, number 548, Memoirs of the AMS, Amer. Math. Society, 1995. Zbl0851.18007MR1239604
  13. 13 Hübl, R.: Traces of differential forms and Hochschild homology, volume 1368 of Lecture Notes in Mathematics. Springer-Verlag, Heidelberg, 1989. Zbl0675.13019MR995670
  14. 14 Hübl, R.: Residues of regular and meromorphic differentials. In preparation, 1993. Zbl0814.14022
  15. 15 Hübl, R. and Kunz, E.: Integration of differential forms on schemes. J. Reine Angew. Math.410 (1990) 53-83. Zbl0712.14006MR1068799
  16. 16 Hübl, R. and Sastry, P.: Regular differential forms and relative duality. Amer. J. Math.115 (1993) 749-787. Zbl0796.14012MR1231146
  17. 17 Kersken, M.: Cousinkomplexe und nennersysteme. Math. Z.182 (1983) 389-402. Zbl0489.13006MR696535
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  29. 29 Sastry, P. and Yekutieli, A.: On residue complexes, dualizing sheaves and local cohomology modules. Israel J. Math., volume 90 (1995), pages 325-348. Zbl0834.14003MR1336329
  30. 30 Verdier, J.L.: Base change for twisted inverse image of coherent sheaves. In Algebraic Geometry (Bombay, 1968), pages 393-408, London, 1969. Oxford University Press. Zbl0202.19902MR274464
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  32. 32 Yekutieli, A.: Residues and differential operators on schemes. Preprint, 1993. Zbl0962.14010MR1652013
  33. 33 Yekutieli, A.: Traces and differential operators over Beilinson completion algebras. To appear in Comp. Math. Zbl0856.13019MR1352568

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