Bayraktar, Turgay and Karaca, Emel (2024) An exponential rarefaction result for sub-Gaussian real algebraic maximal curves. Comptes Rendus Mathematique, 362 . pp. 779-788. ISSN 1631-073X (Print) 1778-3569 (Online)
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Official URL: http://dx.doi.org/10.5802/crmath.596
Abstract
We prove that maximal real algebraic curves associated with sub-Gaussian random real holomorphic sections of a smoothly curved ample line bundle are exponentially rare. This generalizes the result of Gayet and Welschinger [13] proved in the Gaussian case for positively curved real holomorphic line bundles.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA299.6-433 Analysis Q Science > QA Mathematics > QA440 Geometry. Trigonometry. Topology |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Turgay Bayraktar |
| Date Deposited: | 27 Sep 2024 14:42 |
| Last Modified: | 27 Sep 2024 14:42 |
| URI: | https://research.sabanciuniv.edu/id/eprint/50014 |
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