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Matematicheskie Zametki, 1970, Volume 7, Issue 2, Pages 191–202
(Mi mzm9495)
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This article is cited in 1 scientific paper (total in 1 paper)
Degenerate fibers of three-dimensional manifolds fibered into rational surfaces
B. V. Martynov M. V. Lomonosov Moscow State University
Abstract:
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.
Received: 23.05.1969
Citation:
B. V. Martynov, “Degenerate fibers of three-dimensional manifolds fibered into rational surfaces”, Mat. Zametki, 7:2 (1970), 191–202; Math. Notes, 7:2 (1970), 115–121
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https://www.mathnet.ru/eng/mzm9495 https://www.mathnet.ru/eng/mzm/v7/i2/p191
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Abstract page: | 152 | Full-text PDF : | 68 | First page: | 1 |
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