Local Fourier Transforms and Rigidity for D-Modules
Bloch, Spencer ; Esnault, Helene
Asian J. Math., Tome 8 (2004) no. 1, p. 587-606 / Harvested from Project Euclid
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].
Publié le : 2004-12-14
Classification: 
@article{1118669692,
     author = {Bloch, Spencer and Esnault, Helene},
     title = {Local Fourier Transforms and Rigidity for D-Modules},
     journal = {Asian J. Math.},
     volume = {8},
     number = {1},
     year = {2004},
     pages = { 587-606},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1118669692}
}
Bloch, Spencer; Esnault, Helene. Local Fourier Transforms and Rigidity for D-Modules. Asian J. Math., Tome 8 (2004) no. 1, pp.  587-606. http://gdmltest.u-ga.fr/item/1118669692/