Universal isomonodromic deformations of meromorphic rank 2 connections on curves

Viktoria Heu[1]

  • [1] IRMAR Campus de Beaulieu 35042 Rennes cedex (France)

Annales de l’institut Fourier (2010)

  • Volume: 60, Issue: 2, page 515-549
  • ISSN: 0373-0956

Abstract

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We consider tracefree meromorphic rank 2 connections over compact Riemann surfaces of arbitrary genus. By deforming the curve, the position of the poles and the connection, we construct the global universal isomonodromic deformation of such a connection. Our construction, which is specific to the tracefree rank 2 case, does not need any Stokes analysis for irregular singularities. It is thereby more elementary than the construction in arbitrary rank due to B. Malgrange and I. Krichever and it includes the case of resonant singularities in a natural way.

How to cite

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Heu, Viktoria. "Universal isomonodromic deformations of meromorphic rank 2 connections on curves." Annales de l’institut Fourier 60.2 (2010): 515-549. <http://eudml.org/doc/116280>.

@article{Heu2010,
abstract = {We consider tracefree meromorphic rank 2 connections over compact Riemann surfaces of arbitrary genus. By deforming the curve, the position of the poles and the connection, we construct the global universal isomonodromic deformation of such a connection. Our construction, which is specific to the tracefree rank 2 case, does not need any Stokes analysis for irregular singularities. It is thereby more elementary than the construction in arbitrary rank due to B. Malgrange and I. Krichever and it includes the case of resonant singularities in a natural way.},
affiliation = {IRMAR Campus de Beaulieu 35042 Rennes cedex (France)},
author = {Heu, Viktoria},
journal = {Annales de l’institut Fourier},
keywords = {Isomonodromic deformation; meromorphic connection; isomonodromic deformation},
language = {eng},
number = {2},
pages = {515-549},
publisher = {Association des Annales de l’institut Fourier},
title = {Universal isomonodromic deformations of meromorphic rank 2 connections on curves},
url = {http://eudml.org/doc/116280},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Heu, Viktoria
TI - Universal isomonodromic deformations of meromorphic rank 2 connections on curves
JO - Annales de l’institut Fourier
PY - 2010
PB - Association des Annales de l’institut Fourier
VL - 60
IS - 2
SP - 515
EP - 549
AB - We consider tracefree meromorphic rank 2 connections over compact Riemann surfaces of arbitrary genus. By deforming the curve, the position of the poles and the connection, we construct the global universal isomonodromic deformation of such a connection. Our construction, which is specific to the tracefree rank 2 case, does not need any Stokes analysis for irregular singularities. It is thereby more elementary than the construction in arbitrary rank due to B. Malgrange and I. Krichever and it includes the case of resonant singularities in a natural way.
LA - eng
KW - Isomonodromic deformation; meromorphic connection; isomonodromic deformation
UR - http://eudml.org/doc/116280
ER -

References

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