Local Fourier transforms and rigidity for D-modules

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dc.creatorBloch, Spencer
dc.creatorEsnault, Hélène
dc.date2003-12-17
dc.date.accessioned2026-07-07T05:04:01Z
dc.date.available2026-07-07T05:04:01Z
dc.descriptionLocal 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.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0312343
dc.identifierhttp://arxiv.org/abs/math/0312343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69640
dc.subjectAlgebraic Geometry
dc.subject14F40
dc.titleLocal Fourier transforms and rigidity for D-modules
dc.typetext

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