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

8 Citations (Scopus)

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

Access to Document

10.4171/rsmup/134-4

Cite this

@article{aab664da42574176aa73983ddcc4dbb9,

title = "The local laplace transform of an elementary irregular meromorphic connection",

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.",

keywords = "Laplace transformation, Meromorphic connection, Smkes filtration, Smkes matrix",

author = "Marco Hien and Claude Sabbah",

year = "2015",

month = jan,

day = "1",

doi = "10.4171/rsmup/134-4",

language = "English",

volume = "134",

pages = "133--196",

journal = "Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova",

issn = "0041-8994",

publisher = "European Mathematical Society Publishing House",

}

TY - JOUR

T1 - The local laplace transform of an elementary irregular meromorphic connection

AU - Hien, Marco

AU - Sabbah, Claude

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

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

U2 - 10.4171/rsmup/134-4

DO - 10.4171/rsmup/134-4

M3 - Article

AN - SCOPUS:84947221824

SN - 0041-8994

VL - 134

SP - 133

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

Access to Document

Fingerprint

Cite this