An Exponential Rarefaction Result for Sub-Gaussian Real Algebraic Maximal Curves
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866918002514984960 |
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| author | Bayraktar, Turgay Karaca, Emel |
| author_facet | Bayraktar, Turgay Karaca, Emel |
| contents | 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 \cite{GW} proved in the Gaussian case for positively curved real holomorphic line bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_02343 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An Exponential Rarefaction Result for Sub-Gaussian Real Algebraic Maximal Curves Bayraktar, Turgay Karaca, Emel Algebraic Geometry Complex Variables Probability 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 \cite{GW} proved in the Gaussian case for positively curved real holomorphic line bundles. |
| title | An Exponential Rarefaction Result for Sub-Gaussian Real Algebraic Maximal Curves |
| topic | Algebraic Geometry Complex Variables Probability |
| url | https://arxiv.org/abs/2212.02343 |