Displaying similar documents to “Arithmetic on singular cubic surfaces”

Note on autopolar plane cubics

Hari das Bagchi, Manindra Chandra Chaki (1952)

Rendiconti del Seminario Matematico della Università di Padova


On the order three Brauer classes for cubic surfaces

Andreas-Stephan Elsenhans, Jörg Jahnel (2012)

Open Mathematics


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.