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 Izv. Akad. Nauk SSSR Ser. Mat., 1969, Volume 33, Issue 1, Pages 174–238 (Mi izv2129)

The algebraic analog of compact complex spaces with a sufficiently large field of meromorphic functions. I

B. G. Moishezon

Abstract: Abstract analogs are constructed for $n$-dimensional compact complex spaces with $n$ algebraically independent meromorphic functions; they are called by the author minischemes. The present part of the work contains a number of theorems on morphisms and monoidal transformations of schemes, as well as the definition of minischeme and of a morphism of minischemes and some consequences of these definitions, including the construction of the product of minischemes.

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English version:
Mathematics of the USSR-Izvestiya, 1969, 3:1, 167–226

Bibliographic databases:

UDC: 513.6
MSC: 14B25, 30D30, 32C15, 32J10

Citation: B. G. Moishezon, “The algebraic analog of compact complex spaces with a sufficiently large field of meromorphic functions. I”, Izv. Akad. Nauk SSSR Ser. Mat., 33:1 (1969), 174–238; Math. USSR-Izv., 3:1 (1969), 167–226

Citation in format AMSBIB
\Bibitem{Moi69} \by B.~G.~Moishezon \paper The algebraic analog of compact complex spaces with a~sufficiently large field of meromorphic functions.~I \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1969 \vol 33 \issue 1 \pages 174--238 \mathnet{http://mi.mathnet.ru/izv2129} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=260748} \zmath{https://zbmath.org/?q=an:0182.23501|0193.21601} \transl \jour Math. USSR-Izv. \yr 1969 \vol 3 \issue 1 \pages 167--226 \crossref{https://doi.org/10.1070/IM1969v003n01ABEH000762} 

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This publication is cited in the following articles:
1. B. G. Moishezon, “The Castelnuovo–Enriques contraction theorem for arbitrary dimension”, Math. USSR-Izv., 3:5 (1969), 917–966
2. M. Artin, “Algebraicheskie prostranstva”, UMN, 26:1(157) (1971), 181–205
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