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December, 2004 Local Fourier Transforms and Rigidity for D-Modules
Spencer Bloch, Helene Esnault
Asian J. Math. 8(4): 587-606 (December, 2004).


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].


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Spencer Bloch. Helene Esnault. "Local Fourier Transforms and Rigidity for D-Modules." Asian J. Math. 8 (4) 587 - 606, December, 2004.


Published: December, 2004
First available in Project Euclid: 13 June 2005

zbMATH: 1082.14506
MathSciNet: MR2127940

Rights: Copyright © 2004 International Press of Boston


Vol.8 • No. 4 • December, 2004
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