Abstract
Local Fourier transforms, analogous to the l-adic local Fourier transforms [14], are constructed for connections over k((t)). Following a program of Katz [12], a meromorphic connection on a curve is shown to ber igid, i.e. determined by local data at the singularities, if and only if a certain infinitesimal rigidity conditionis satisfied. As in [12],the argument uses local Fourier transforms to prove an invariance result for the rigidity index under global Fourier transform. A key technical tool is the notion of good lattice pairs for a connection[5].
Citation
Spencer Bloch. Helene Esnault. "Local Fourier Transforms and Rigidity for D-Modules." Asian J. Math. 8 (4) 587 - 606, December, 2004.
Information