Michele Ancona

activity

20242026

most citedHow curved is a random complex curve?

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.PR2024

On the curvatures of random complex submanifolds

Michele Ancona, Damien Gayet

For any integers $n \geq 2$ and $1 \leq r \leq n - 1$ satisfying $3 r \geq 2 n - 1$ , we show that the expected volume fraction of a random degree $d$ complex submanifold of $\C\mathbb{P}^n$…

math.AG2024★ 1 cited

How curved is a random complex curve?

Michele Ancona, Damien Gayet

In this paper, we study the curvature properties of random complex plane curves. We bound from below the probability that a uniform proportion of the area of a random complex degre…