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Iskovskikh Seminar
February 11, 2016 18:00, Moscow, Steklov Mathematical Institute, room 540
 


Bertini theorems over finite fields (following Bjorn Poonen)

E. A. Yasinsky

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract: The classical Bertini theorems state that if a projective scheme over an infinite field has a certain property (smooth, geometrically irreducible, etc.), then its sufficiently general hyperplane section has that property too. It is well-known that these theorems can fail for finite fields. In this talk we discuss how the Bertini theorems can be adapted for schemes over finite fields.

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