This article is cited in 3 papers

$q$-finite morphisms in formal algebraic geometry

F. L. Zak


Abstract: In this paper we introduce definitions and study properties of $q$-finite and $q$-acyclic morphisms of formal algebraic spaces. We give criteria for the existence of formal contractions in terms of 1-finite morphisms. We use these criteria to prove the existence of certain modifications and the algebraizability of certain formal morphisms.
Bibliography: 15 items.

UDC: 513.6

MSC: Primary 14F05, 14B10, 14B20, 14E05; Secondary 32C45, 32F10

Received: 12.02.1974

 English version: Mathematics of the USSR-Izvestiya, 1975, 9:1, 27–62

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