An Exponential Rarefaction Result for Sub-Gaussian Real Algebraic Maximal Curves
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.
Authors
- Turgay Bayraktar (ORCID: https://orcid.org/0000-0002-1364-9728)
- Emel Karaca (ORCID: https://orcid.org/0000-0003-0703-939X)
Publication Details
- Journal
- Comptes Rendus Mathématique
- Published
- 2024-09-17
- DOI
- https://doi.org/10.5802/crmath.596
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00