Degenerate fibers of three-dimensional manifolds fibered into rational surfaces
Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 191-202
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It is proved that the components of degenerate fibers of three-dimensional algebraic manifolds fibered into rational surfaces are rational or irrational ruled suriaces. An example is constructed of a three-dimensional algebraic manifold, fibered into rational surfaces, whose degenerate fiber contains an irrational ruled surface which cannot be eliminated by birational transformations that do not alter the common fiber.
@article{MZM_1970_7_2_a6,
author = {B. V. Martynov},
title = {Degenerate fibers of three-dimensional manifolds fibered into rational surfaces},
journal = {Matemati\v{c}eskie zametki},
pages = {191--202},
year = {1970},
volume = {7},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a6/}
}
B. V. Martynov. Degenerate fibers of three-dimensional manifolds fibered into rational surfaces. Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 191-202. http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a6/