On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles

Takuro Mochizuki[1]

  • [1] Kyoto University Research Institute for Mathematical Sciences Kyoto 606-8502 (Japan)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 7, page 2819-2837
  • ISSN: 0373-0956

Abstract

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In this short survey, we would like to overview the recent development of the study on Deligne-Malgrange lattices and resolution of turning points for algebraic meromorphic flat bundles. We also explain their relation with wild harmonic bundles. The author hopes that it would be helpful for access to his work on wild harmonic bundles.

How to cite

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Mochizuki, Takuro. "On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles." Annales de l’institut Fourier 59.7 (2009): 2819-2837. <http://eudml.org/doc/10473>.

@article{Mochizuki2009,
abstract = {In this short survey, we would like to overview the recent development of the study on Deligne-Malgrange lattices and resolution of turning points for algebraic meromorphic flat bundles. We also explain their relation with wild harmonic bundles. The author hopes that it would be helpful for access to his work on wild harmonic bundles.},
affiliation = {Kyoto University Research Institute for Mathematical Sciences Kyoto 606-8502 (Japan)},
author = {Mochizuki, Takuro},
journal = {Annales de l’institut Fourier},
keywords = {Harmonic bundle; meromorphic flat bundle; Deligne-Malgrange lattice; harmonic bundles; pluri-harmonic metrics; meromorphic flat bundles; semi-simplicity; Deligne-Malgrange lattices; irregular singularities, resolution of turning points; Kobayashi-Hitchin correspondence},
language = {eng},
number = {7},
pages = {2819-2837},
publisher = {Association des Annales de l’institut Fourier},
title = {On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles},
url = {http://eudml.org/doc/10473},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Mochizuki, Takuro
TI - On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 7
SP - 2819
EP - 2837
AB - In this short survey, we would like to overview the recent development of the study on Deligne-Malgrange lattices and resolution of turning points for algebraic meromorphic flat bundles. We also explain their relation with wild harmonic bundles. The author hopes that it would be helpful for access to his work on wild harmonic bundles.
LA - eng
KW - Harmonic bundle; meromorphic flat bundle; Deligne-Malgrange lattice; harmonic bundles; pluri-harmonic metrics; meromorphic flat bundles; semi-simplicity; Deligne-Malgrange lattices; irregular singularities, resolution of turning points; Kobayashi-Hitchin correspondence
UR - http://eudml.org/doc/10473
ER -

References

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