An~application of a~numerical criterion of ampleness
Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 149-154
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It is proven that, if an affine segment of a complete surface contains all its singularities, the surface is then projective, and the complement to this affine segment is cut by a hyperplane upon some projective embedding of the surface.
The author has learned that the results of this Note was obtained by Jacob Goodman (New York) in his unpublished dissertation (1967).
@article{MZM_1969_5_2_a1,
author = {M. Kh. Gizatullin},
title = {An~application of a~numerical criterion of ampleness},
journal = {Matemati\v{c}eskie zametki},
pages = {149--154},
publisher = {mathdoc},
volume = {5},
number = {2},
year = {1969},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a1/}
}
M. Kh. Gizatullin. An~application of a~numerical criterion of ampleness. Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 149-154. http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a1/