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Iskovskikh Seminar
April 23, 2015 18:00, Moscow, Steklov Mathematical Institute, room 540
 


Minimal cubic surfaces over finite fields

A. S. Trepalin

Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow

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Abstract: If the cubic surface over finite field is minimal then the image of the Galois group of algebraic closure in the Weil group is conjugate to one of five cyclic subgroups of orders $3$, $6$, $6$, $9$, $12$. For each of these subgroups we construct explicit examples of minimal cubic surface with little restrictions on the number of elements in the field.

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