Izvestiya. Mathematics, Tome 29 (1987) no. 1, pp. 81-94
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Vik. S. Kulikov. Minimal objects of algebraic spaces. Izvestiya. Mathematics, Tome 29 (1987) no. 1, pp. 81-94. http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a4/
@article{IM2_1987_29_1_a4,
author = {Vik. S. Kulikov},
title = {Minimal objects of algebraic spaces},
journal = {Izvestiya. Mathematics},
pages = {81--94},
year = {1987},
volume = {29},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a4/}
}
TY - JOUR
AU - Vik. S. Kulikov
TI - Minimal objects of algebraic spaces
JO - Izvestiya. Mathematics
PY - 1987
SP - 81
EP - 94
VL - 29
IS - 1
UR - http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a4/
LA - en
ID - IM2_1987_29_1_a4
ER -
%0 Journal Article
%A Vik. S. Kulikov
%T Minimal objects of algebraic spaces
%J Izvestiya. Mathematics
%D 1987
%P 81-94
%V 29
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a4/
%G en
%F IM2_1987_29_1_a4
The author introduces a notion of the minimal object of a field $K$ finitely generated over $\mathbf C$ which generalizes the notion of a minimal model of $K$. In the case of an algebraic surface not isomorphic to a rational or ruled surface, it coincides with the minimal model. The minimal objects of three-dimensional algebraic spaces are investigated. Bibliography: 6 titles.
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[2] Nikulin V. V., “O faktorgruppakh grupp avtomorfizmov giperbolicheskikh form po podgruppam, porozhdennym 2-otrazheniyami. Algebro-geometricheskie prilozheniya”, Itogi nauki i tekhniki. Sovr. probl. matem., 18, VINITI, 1981, 3–114 | MR
[3] Sarkisov V. G., “O strukturakh rassloenii na koniki”, Izv. AN SSSR. Ser. matem., 46:2 (1982), 371–408 | MR | Zbl
[4] Persson U., “On degenerations of algebraic surfaces”, Memoirs of the Am. Math. Soc., 11:189 (1977), 1–144 | MR
