

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 wellknown 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.

