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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1973 Volume 14, Issue 6, Pages 821–826 (Mi mzm7300)

Three-dimensional manifolds with hyperplane sections which are ruled surfaces

B. V. Martynov


Abstract: A nonsingular 3-dimensional algebraic manifold over the field of complex numbers, whose general hyperplane section is a ruled surface with irregularity $q>0$, is birationally equivalent to the direct product of the projective plane and a nonsingular curve of genus $q$.

UDC: 512

Received: 22.12.1972


 English version:
Mathematical Notes, 1973, 14:6, 1029–1032

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