Timeline for Arnold's theorem on small denominators and holomorphic tubular neighborhoods
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 15, 2023 at 3:30 | comment | added | Mohan Swaminathan | Is the first sentence of your question (referring to Grauert's result) literally true or do we need finitely many obstructions to vanish before we conclude that there is a neighborhood biholomorphic to a neighborhood of the zero section in the normal bundle? E.g. a priori the tangent bundle of the surface might be a non-trivial extension of the tangent bundle of the curve and its normal bundle (this can be avoided if the normal bundle is sufficiently negative). | |
| Sep 20, 2021 at 5:16 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
fixed arxiv front-end link
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| Mar 14, 2019 at 9:02 | comment | added | Ben McKay | I remember some discussion of this in Arnold's Geometric Methods in Ordinary Differential Equations. I can't find my copy. Have you looked there? | |
| Mar 14, 2019 at 4:11 | history | asked | Rodion N. Déev | CC BY-SA 4.0 |