A. M. Kytmanov, S. G. Myslivets, “On construction of exact complexes connected with the Dolbeault complex”, Sibirsk. Mat. Zh., 2003, Volume 44, Number 4,Pages <nobr>779

This article is cited in 3 papers

On construction of exact complexes connected with the Dolbeault complex

A. M. Kytmanov, S. G. Myslivets

Krasnoyarsk State University

Abstract: We consider some exact subcomplex of the Dolbeault complex which is constructed by means of the Koppelman integral representation. We give its intrinsic description. Using this subcomplex, we construct a double exact complex one of whose components is the Dolbeault complex.

Keywords: Dolbeault complex, Koppelman integral representation, Cauchy–Riemann operator.

UDC: 517.55

Received: 29.07.2002