A proposito di convessità olomorfa

Research paper by Ruhal Floris

Indexed on: 01 May '80Published on: 01 May '80Published in: Rendiconti del Circolo Matematico di Palermo (1952 -)


In this paper we study gometrical conditions on the border of an open setX inCn that nullify some cohomological groups with values in the sheaf {ie291-1} of holomorphic functions.This attempt to define a «geometric convexity» (see n. 4) does succeed only in a particular case (theorem 3), mainly because we use rather weak conditions and not the best techniques: however these ones are interesting for themselves (approximation with sets derived from coronae rather than from discs).