The local laplace transform of an elementary irregular meromorphic connection

Marco Hien; Claude Sabbah

doi:10.4171/rsmup/134-4

The local laplace transform of an elementary irregular meromorphic connection

Marco Hien, Claude Sabbah

Lehrstuhl für Algebra und Zahlentheorie

Research output: Contribution to journal › Article › peer-review

Abstract

We give a definition of the mpological local Laplace transformation for a Smkes-filtered local system on the complex affine line and we compute in a mpological way the Smkes data of the Laplace transform of a differential system of elementary type.

Original language	English
Pages (from-to)	133-196
Number of pages	64
Journal	Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
Volume	134
DOIs	https://doi.org/10.4171/rsmup/134-4
Publication status	Published - 1 Jan 2015

Keywords

Laplace transformation
Meromorphic connection
Smkes filtration
Smkes matrix

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10.4171/rsmup/134-4

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abstract = "We give a definition of the mpological local Laplace transformation for a Smkes-filtered local system on the complex affine line and we compute in a mpological way the Smkes data of the Laplace transform of a differential system of elementary type.",

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AU - Sabbah, Claude

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AB - We give a definition of the mpological local Laplace transformation for a Smkes-filtered local system on the complex affine line and we compute in a mpological way the Smkes data of the Laplace transform of a differential system of elementary type.

KW - Laplace transformation

KW - Meromorphic connection

KW - Smkes filtration

KW - Smkes matrix

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DO - 10.4171/rsmup/134-4

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EP - 196

JO - Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova

JF - Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova

ER -

The local laplace transform of an elementary irregular meromorphic connection

Abstract

Keywords

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