Exponential decay of harmonic $1$-forms for wild harmonic bundles on curves
We give a slightly reorganized exposition of the proof of the exponential decay result of T. Mochizuki for harmonic $1$-forms for wild harmonic bundles on a disc.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.607/ |
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| author | Szabó, Szilárd |
| author_facet | Szabó, Szilárd |
| author_sort | Szabó, Szilárd |
| collection | DOAJ |
| description | We give a slightly reorganized exposition of the proof of the exponential decay result of T. Mochizuki for harmonic $1$-forms for wild harmonic bundles on a disc. |
| format | Article |
| id | doaj-art-acd218ee994b445193163226f27c3216 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-acd218ee994b445193163226f27c32162025-02-07T11:23:07ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G91015102110.5802/crmath.60710.5802/crmath.607Exponential decay of harmonic $1$-forms for wild harmonic bundles on curvesSzabó, Szilárd0Budapest University of Technology and Economics, 1111. Budapest, Egry József utca 1. H épület, Hungary; Rényi Institute of Mathematics, 1053. Budapest, Reáltanoda utca 13-15. HungaryWe give a slightly reorganized exposition of the proof of the exponential decay result of T. Mochizuki for harmonic $1$-forms for wild harmonic bundles on a disc.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.607/Harmonic bundleharmonic sectionirregular singularity |
| spellingShingle | Szabó, Szilárd Exponential decay of harmonic $1$-forms for wild harmonic bundles on curves Comptes Rendus. Mathématique Harmonic bundle harmonic section irregular singularity |
| title | Exponential decay of harmonic $1$-forms for wild harmonic bundles on curves |
| title_full | Exponential decay of harmonic $1$-forms for wild harmonic bundles on curves |
| title_fullStr | Exponential decay of harmonic $1$-forms for wild harmonic bundles on curves |
| title_full_unstemmed | Exponential decay of harmonic $1$-forms for wild harmonic bundles on curves |
| title_short | Exponential decay of harmonic $1$-forms for wild harmonic bundles on curves |
| title_sort | exponential decay of harmonic 1 forms for wild harmonic bundles on curves |
| topic | Harmonic bundle harmonic section irregular singularity |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.607/ |
| work_keys_str_mv | AT szaboszilard exponentialdecayofharmonic1formsforwildharmonicbundlesoncurves |