Geodesic
Residue: A Geometric Construction
Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 284-293

Voir la notice de l'article provenant de la source Cambridge University Press

A new construction of the ordinary residue of differential forms is given. This construction is intrinsic, i.e., it is defined without local coordinates, and it is geometric: it is constructed out of the geometric structure of the local and global cohomology groups of the differentials. The Residue Theorem and the local calculation then follow from geometric reasons.
DOI : 10.4153/CMB-2002-032-4
Mots-clés : 14A25 
Salas, Fernando Sancho de. Residue: A Geometric Construction. Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 284-293. doi: 10.4153/CMB-2002-032-4
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[Gro1] [Gro1] Grothendieck, A., Théorèmes de dualité pour les faisceaux algébriques cohérents. Seminaire Bourbaki 149, Secre.Math. I.H.P. Paris, 1957. Google Scholar

[Gro2] [Gro2] Grothendieck, A., Local Cohomology. Lecture Notes in Math. 41, Springer-Verlag, 1967. Google Scholar

[Ha] [Ha] Hartshorne, R., Residues and Duality. Lecture Notes in Math. 20, Springer-Verlag, 1966. Google Scholar

[HK] [HK] Hubl, R. and Kunz, E., Integration of Differential Forms on Schemes. J. Reine Angew. Math 410 (1990), 410–1990. Google Scholar

[Hu] [Hu] Hubl, R., Traces of Differential Forms and Hochschild Homology. Lecture Notes in Math. 1368, Springer-Verlag, 1989. Google Scholar

[Li1] [Li1] Lipman, J., Dualizing sheaves, differentials and residues on algebraic varieties. Astérisque 117, 1984. Google Scholar

[Li2] [Li2] Lipman, J., Residues and Traces of Differential Forms via Hochschild Homology. Contemp. Math. 61, Amer. Math. Soc., Providence, RI, 1987. Google Scholar

[Ma] [Ma] Matlis, E., Injective modules for noetherian rings. Pacific J. Math. 8 (1958), 8–1958. Google Scholar

[Ta] [Ta] Tate, J., Residues of differentials on curves. Ann. Sci. École Norm. Sup. (4) 1 (1968), 1–1968. Google Scholar

[Se] [Se] Serre, J. P., Groupes Algébriques et Corps de Classes. Hermann, Paris, 1959. Google Scholar

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