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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1970 Volume 7, Issue 2, Pages 191–202 (Mi mzm9495)

This article is cited 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.

UDC: 511

Received: 23.05.1969


 English version:
Mathematical Notes, 1970, 7:2, 115–121

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