Библиографическое описание:Aleksandrov, A. G. Multi-Logarithmic Differential Forms on Complete Intersections / A. G. Aleksandrov, A. K. Tsikh. - Текст : непосредственный // Журнал Сибирского федерального университета. Математика и физика. - 2008. - Т. 1, № 2. - С. 105-124. - Библиогр.: с. 123-124 (29 назв.). - ISSN 1997-1397.
Аннотация:We construct a complex of sheaves of multi-logarithmic differential forms on a complex analytic manifold with respect to a reduced complete intersection; and define the residue map as a natural morphism from this complex onto the Barlet complex of regular meromorphic differential forms: It follows then that sections of the Barlet complex can be regarded as a generalization of the residue differential forms defined by Leray. Moreover, we show that the residue map can be described explicitly in terms of certain integration current.
