No rational nonsingular quartic curve can be set-theoretic complete intersection on a cubic surface
P. C. Craighero, R. Gattazzo (1989)
Rendiconti del Seminario Matematico della Università di Padova
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P. C. Craighero, R. Gattazzo (1989)
Rendiconti del Seminario Matematico della Università di Padova
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Piercarlo Craighero, Remo Gattazzo (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Haridas Bagchi, Biswarup Mukherji (1951)
Rendiconti del Seminario Matematico della Università di Padova
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Hari das Bagchi, Manindra Chandra Chaki (1952)
Rendiconti del Seminario Matematico della Università di Padova
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Andreas-Stephan Elsenhans, Jörg Jahnel (2012)
Open Mathematics
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We describe a method to compute the Brauer-Manin obstruction for smooth cubic surfaces over ℚ such that Br(S)/Br(ℚ) is a 3-group. Our approach is to associate a Brauer class with every ordered triplet of Galois invariant pairs of Steiner trihedra. We show that all order three Brauer classes may be obtained in this way. To show the effect of the obstruction, we give explicit examples.
Ronald van Luijk (2011)
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Luciana Picco Botta, Alessandro Verra (1983)
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J. P. Murre (1972)
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