1 citations · 1 across the 5 of their papers we have counts for
6 papers
Invariants of big classes from asymptotic total Betti numbers
Michele Ancona, Junyan Cao
We introduce and study a new numerical invariant of big line bundles on normal complex projective varieties, defined in terms of the total Betti number of hypersurfaces associated…
A recursion for the volume of the moduli space of hyperbolic spheres
Michele Ancona, Damien Gayet
We prove the existence of a non-linear recursive relation for the volume of the moduli space of hyperbolic spheres with conical points or geodesic boundaries. This relation general…
Minimal surfaces with negative curvature in large dimensional spheres
Michele Ancona, François Labourie, Anna Roig-Sanchis +1
In this note, we answer positively a question of Yau by proving the existence of closed minimal surfaces with negative induced curvature in any sphere of large dimension. The proof…
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…
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 $\C\mathbb{P}^n$…
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…