An Exponential Rarefaction Result for Sub-Gaussian Real Algebraic Maximal Curves Un résultat de raréfaction exponentielle pour les courbes algébriques maximales réelles sous-Gaussiennes
Comptes Rendus Mathematique, cilt.362, ss.779-788, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 362
- Basım Tarihi: 2024
- Doi Numarası: 10.5802/crmath.596
- Dergi Adı: Comptes Rendus Mathematique
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aquatic Science & Fisheries Abstracts (ASFA), MathSciNet, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.779-788
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
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.