Mathematics – Algebraic Geometry
Scientific paper
2003-12-17
Mathematics
Algebraic Geometry
23 pages
Scientific paper
Local Fourier trnasforms, analogous to the $\ell$-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.
Bloch Spencer
Esnault Hélène
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