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Matematicheskie Zametki, 1973, Volume 14, Issue 6, Pages 821–826 (Mi mzm7300)  
Three-dimensional manifolds with hyperplane sections which are ruled surfaces

B. V. Martynov
Full-text PDF (498 kB)
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 $q$.
Received: 22.12.1972
English version:
Mathematical Notes, 1973, Volume 14, Issue 6, Pages 1029–1032
DOI: https://doi.org/10.1007/BF01099586
Bibliographic databases:
UDC: 512
Language: Russian
Citation: B. V. Martynov, “Three-dimensional manifolds with hyperplane sections which are ruled surfaces”, Mat. Zametki, 14:6 (1973), 821–826; Math. Notes, 14:6 (1973), 1029–1032
Citation in format AMSBIB
\Bibitem{Mar73}
\by B.~V.~Martynov
\paper Three-dimensional manifolds with hyperplane sections which are ruled surfaces
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 6
\pages 821--826
\mathnet{http://mi.mathnet.ru/mzm7300}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=332797}
\zmath{https://zbmath.org/?q=an:0315.50011}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 6
\pages 1029--1032
\crossref{https://doi.org/10.1007/BF01099586}
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