Published January 1, 2024
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An Exponential Rarefaction Result for Sub-Gaussian Real Algebraic Maximal Curves
Creators
- 1. Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkiye
- 2. Ankara Haci Bayram Veli Univ, Polatli Fac Sci & Arts, TR-06900 Ankara, Turkiye
Description
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.
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