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Iskovskikh Seminar
January 29, 2015 17:00, Moscow, Steklov Mathematical Institute, room 540
 


Quotients of cubic surfaces

A. S. Trepalin

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow

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Abstract: We consider the following problem: whether the quotient of cubic surface over algebraically non-closed field by a finite group of automorphisms is rational. We show, that the quotient can be non-rational only if the group is trivial or a cyclic group of order 3 acting on the cubic surface in definite way. Moreover, for this action we construct an explicit criterion of rationality of the quotient in terms of Galois group.

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