Abstract:
We characterize the existence of global liftings of local data of meromorphic forms, satisfying a family of compatibility conditions on their polar sets, in terms of obstructions belonging to the cohomology H.(X, Ω.), where X is the ambient manifold. These obstructions are constructed canonically, using residue-principal value operators. © 1984 Springer-Verlag.
Referencias:
- COLEFF, N.-HERRERA, M.: Les Courants Résiduels Associés à une Forme Meromorphe, Springer-Verlag Lecture Notes 633, Berlin-Heidelberg-New York, 1978; Coleff, N., Herrera, M., Lieberman, D., Algebraic Cycles as Residues of Meromorphic Forms (1980) Mathematische Annalen, 254, pp. 73-87
- GROTHENDIECK, A.: On the De Rham Cohomology of Algebraic Varieties, Publ. Math. I.M.E.S. 29 (1966); Griffiths, P., Harris, J., (1978) Principles of Algebraic Geometry, , John Wiley and Sons, New York-Chichester-Brisbane-Toronto
- Herrera, M., Lieberman, D., Residues and Principal Values on Complex Spaces (1971) Mathematische Annalen, 194, pp. 259-294
- Weil, A., Sur la Théorie de Formes Differentielles Attachées à une Variété Analytique Complexe (1947) Comentarii Math. Helv., 20, pp. 110-116
Citas:
---------- APA ----------
Dickenstein, A., Herrera, M. & Sessa, C.
(1984)
. On the global lifting of meromorphic forms. Manuscripta Mathematica, 47(1-3), 31-54.
http://dx.doi.org/10.1007/BF01174586---------- CHICAGO ----------
Dickenstein, A., Herrera, M., Sessa, C.
"On the global lifting of meromorphic forms"
. Manuscripta Mathematica 47, no. 1-3
(1984) : 31-54.
http://dx.doi.org/10.1007/BF01174586---------- MLA ----------
Dickenstein, A., Herrera, M., Sessa, C.
"On the global lifting of meromorphic forms"
. Manuscripta Mathematica, vol. 47, no. 1-3, 1984, pp. 31-54.
http://dx.doi.org/10.1007/BF01174586---------- VANCOUVER ----------
Dickenstein, A., Herrera, M., Sessa, C. On the global lifting of meromorphic forms. Manuscripta Math. 1984;47(1-3):31-54.
http://dx.doi.org/10.1007/BF01174586