Traces and differential operators over Beilinson completion algebras

Amnon Yekutieli

Compositio Mathematica (1995)

  • Volume: 99, Issue: 1, page 59-97
  • ISSN: 0010-437X

How to cite

top

Yekutieli, Amnon. "Traces and differential operators over Beilinson completion algebras." Compositio Mathematica 99.1 (1995): 59-97. <http://eudml.org/doc/90408>.

@article{Yekutieli1995,
author = {Yekutieli, Amnon},
journal = {Compositio Mathematica},
keywords = {topological local field; Beilinson completion algebra; ST module; continuous differential operators; residue complexes},
language = {eng},
number = {1},
pages = {59-97},
publisher = {Kluwer Academic Publishers},
title = {Traces and differential operators over Beilinson completion algebras},
url = {http://eudml.org/doc/90408},
volume = {99},
year = {1995},
}

TY - JOUR
AU - Yekutieli, Amnon
TI - Traces and differential operators over Beilinson completion algebras
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 99
IS - 1
SP - 59
EP - 97
LA - eng
KW - topological local field; Beilinson completion algebra; ST module; continuous differential operators; residue complexes
UR - http://eudml.org/doc/90408
ER -

References

top
  1. 1 Beilinson, A.A.: Residues and adeles, Funkt. Anal. Pril.14(1) (1980), 44-45; English trans. in Func. Anal. Appl.14(1) (1980), 34-35. Zbl0509.14018MR565095
  2. 2 Borel, A. et al.: Algebraic D-Modules, Academic Press, Boston, 1987. Zbl0642.32001MR882000
  3. 3 Bourbaki, N.: Commutative Algebra, Hermann, Paris, 1972. MR360549
  4. 4 Grothendieck, A. and Dieudonné, J.: Eléments de géométrie algébrique. IV, Publ. Math. IHES32 (1967). Zbl0153.22301
  5. 5 El Zein, F.: Complexe Dualizant et Applications à la Classe Fondamentale d'un Cycle, Bull. Soc. Math. France, Mémoire58, 1978. Zbl0388.14002
  6. 6 Huang, I.C.: Pseudofunctors on modules with 0-dimensional support, to appear in: Memoirs of AMS. Zbl0851.18007
  7. 7 Hübl, R. and Kunz, E.: Integration of differential forms on schemes, J. Reine Angew. Math.410 (1990), 53-83. Zbl0712.14006MR1068799
  8. 8 Hübl, R. and Kunz, E.: Regular differential forms and duality for projective morphisms, J. Reine Angew. Math.410 (1990), 84-108. Zbl0709.14014MR1068800
  9. 9 Huber, A.: On the Parshin-Beilinson adeles for schemes, Abh. Math. Sem. Univ. Hamburg61 (1991), 249-273. Zbl0763.14006MR1138291
  10. 10 Hübl, R. and Sastry, P.: Regular differential forms and relative duality, Amer. J. Math.115(4) (1993), 749-787. Zbl0796.14012MR1231146
  11. 11 Hübl, R.: Traces of Differential Forms and Hochschild Homology, Lecture Notes in Math. 1368, Springer, Berlin, 1989. Zbl0675.13019MR995670
  12. 12 Hübl, R.: Residues of regular and meromorphic differential forms, to appear in: Math. Annalen. Zbl0814.14022MR1314737
  13. 13 Hübl, R. and Yekutieli, A.: Adeles and Differential Forms, preprint. Zbl0847.14006MR1374916
  14. 14 Köthe, G.: Topological Vector Spaces I, Vol. 1, Springer-Verlag, New York, 1969. Zbl0179.17001MR248498
  15. 15 Kunz, E.: Kähler Differentials, Vieweg, Braunschweig, Wiesbaden, 1986. Zbl0587.13014MR864975
  16. 16 Grothendieck, A.: Local Cohomology, Lecture Notes in Math. 41, Springer-Verlag, Berlin, 1967. Zbl0185.49202MR224620
  17. 17 Lipman, J.: Dualizing sheaves, differentials and residues on algebraic varieties, Asterisque117 (1984). Zbl0562.14003MR759943
  18. 18 Lipman, J.: Residues and Traces of Differential Forms via Hochschild Homology, Contemp. Math.61, AMS, Providence, 1987. Zbl0606.14015MR868864
  19. 19 Lipman, J. and Sastry, P.: Regular differentials and equidimensional scheme-maps, J. Alg. Geom.1 (1992), 101-130. Zbl0812.14011MR1129841
  20. 20 Macdonald, I.G.: Duality over complete local rings, Topology1 (1962), 213-235. Zbl0108.26401MR151491
  21. 21 Hartshorne, R.: Residues and Duality, Lecture Notes in Math. 20, Springer-Verlag, Berlin, 1966. Zbl0212.26101MR222093
  22. 22 Sastry, P. and Yekutieli, A.: On residue complexes, dualizing sheaves and local cohomology modules, to appear in: Israel J. Math. Zbl0834.14003MR1336329
  23. 23 Warner, F.W.: Foundations of Differrentiable Manifolds and Lie Groups, Springer-Verlag, New York, 1983. Zbl0516.58001MR722297
  24. 24 Yekutieli, A.: An explicit construction of the Grothendieck residue complex (with an appendix by P. Sastry), Astérisque208 (1992). Zbl0788.14011MR1213064
  25. 25 Yekutieli, A.: Residues and differential operators on schemes, Preprint, 1994. Zbl0962.14010MR1652013

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.