On~the closed cone of curves of algebraic 3-folds
Izvestiya. Mathematics , Tome 24 (1985) no. 1, pp. 193-198
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In this paper the author establishes, under natural conditions, the local polyhedrality of the closed cone of curves of a three-dimensional algebraic variety in the part that is negative with respect to the canonical class. In particular, it is shown that there always exists an extremal ray giving a contraction. The results can be used in three-dimensional birational geometry.
Bibliography: 7 titles.
@article{IM2_1985_24_1_a7,
author = {V. V. Shokurov},
title = {On~the closed cone of curves of algebraic 3-folds},
journal = {Izvestiya. Mathematics },
pages = {193--198},
publisher = {mathdoc},
volume = {24},
number = {1},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1985_24_1_a7/}
}
V. V. Shokurov. On~the closed cone of curves of algebraic 3-folds. Izvestiya. Mathematics , Tome 24 (1985) no. 1, pp. 193-198. http://geodesic.mathdoc.fr/item/IM2_1985_24_1_a7/