A Bertini type theorem for pencils over finite fields

2020/04/07 by Asgarli, Shamil, Ghioca, Dragos
#14C21 #14J70 #14N05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.03479

Abstract

We study the question of finding smooth hyperplane sections to a pencil of hypersurfaces over finite fields.

Related

• Smoothness in pencils of hypersurfaces over finite fields
• Bertini theorems for hypersurface sections containing a subscheme over finite fields
• Transverse linear subspaces to hypersurfaces over finite fields
• Bertini Type Theorems
• Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory