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.
Nous donnons un sommaire du développement récent de l’étude sur les réseaux de Deligne-Malgrange et la résolution des tournants pour les connexions méromorphes plates algébriques. Nous expliquons également leur relation avec les fibrés harmoniques sauvages. L’auteur espère que ce sera utile pour l’accès à son travail sur les fibrés harmoniques sauvages.
Keywords: Harmonic bundle, meromorphic flat bundle, Deligne-Malgrange lattice
Mot clés : fibrés harmoniques, connexions méromorphies plates, réseau de Deligne-Malgrange
Mochizuki, Takuro 1
@article{AIF_2009__59_7_2819_0, author = {Mochizuki, Takuro}, title = {On {Deligne-Malgrange} lattices, resolution of turning points and harmonic bundles}, journal = {Annales de l'Institut Fourier}, pages = {2819--2837}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {59}, number = {7}, year = {2009}, doi = {10.5802/aif.2509}, zbl = {1202.32008}, mrnumber = {2649340}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2509/} }
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 SP - 2819 EP - 2837 VL - 59 IS - 7 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2509/ DO - 10.5802/aif.2509 LA - en ID - AIF_2009__59_7_2819_0 ER -
%0 Journal Article %A Mochizuki, Takuro %T On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles %J Annales de l'Institut Fourier %D 2009 %P 2819-2837 %V 59 %N 7 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2509/ %R 10.5802/aif.2509 %G en %F AIF_2009__59_7_2819_0
Mochizuki, Takuro. On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles. Annales de l'Institut Fourier, Volume 59 (2009) no. 7, pp. 2819-2837. doi : 10.5802/aif.2509. https://aif.centre-mersenne.org/articles/10.5802/aif.2509/
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