2 papers
math.AG2025
Lower bound for the Cheeger constant of random complex curves
Michele Ancona, Damien Gayet
In this paper, we provide a lower bound for the Cheeger constant and the spectral gap for random complex curves in $\C P^2$. The complex curve is endowed with the restriction of th…
math.PR2024
On the curvatures of random complex submanifolds
Michele Ancona, Damien Gayet
For any integers and satisfying , we show that the expected volume fraction of a random degree complex submanifold of $\C\mathbb{P}^n$…