2003/12/17 by Spencer Bloch, Bloch, Spencer, Hélène Esnault +1
Mathematics · #14F40 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14F40
paper · pdf · doi:10.48550/arxiv.math/0312343
23 pages
arxiv created 2003/12/17 · arxiv updated 2009/12/01
Local Fourier trnasforms, analogous to the ℓ-adic Fourier transforms, are constructed for connections over k((t)). Following a program of Katz, a meromorphic connection on a curve is shown to be rigid, i.e. determined by local data at the singularities, if and only if a certain cohomological condition is satisfied. We show that the index of rigidity is invariant under Fourier transform.