Article thumbnail

Multi-Logarithmic Differential Forms on Complete Intersections

By Alexandr G. Aleksandrov and Avgust K. Tsikh


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

Topics: complete intersection, multi-logarithmic differential forms, regular meromorphic differential forms, Poincar'e residue, logarithmic residue, Grothendieck duality, residue current
Publisher: Сибирский федеральный университет. Siberian Federal University
Year: 2020
OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.