Michele Ancona

activity

20172025

most citedZeros of smooth stationary Gaussian processes

5 citations · 12 across the 13 of their papers we have counts for

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9 papers · 1 filter

math.AG2023

Metric and spectral aspects of random complex divisors

Michele Ancona, Damien Gayet

For any integer $n \geq 2$ , we prove that for any large enough integer $d$ , with large probability the injectivity radius of a random degree $d$ complex hypersurface in $\C P^n$ is…

math.AG2022★ 1 cited

Existence of real algebraic hypersurfaces with many prescribed components

Michele Ancona

Given a real algebraic variety $X$ of dimension $n$ , a very ample divisor $D$ on $X$ and a smooth closed hypersurface $Σ$ of $R^{n}$ , we construct real algebraic hypersurfac…

math.AG2021

On the topology of random real complete intersections

Michele Ancona

Given a real projective variety $X$ and $m$ ample line bundles $L_{1}, \dots L_{m}$ on $X$ also defined over $R$ , we study the topology of the real locus of the complete inters…

math.AG2020★ 1 cited

Exponential rarefaction of maximal real algebraic hypersurfaces

Michele Ancona

Given an ample real Hermitian holomorphic line bundle $L$ over a real algebraic variety $X$ , the space of real holomorphic sections of $L^{\otimes d}$ inherits a natural Gaussian p…

math.AG2020

Random real branched coverings of the projective line

Michele Ancona

In this paper, we construct a natural probability measure on the space of real branched coverings from a real projective algebraic curve $(X, c_{X})$ to the projective line $(\mathbb{…

math.AG2019

Roots of Kostlan polynomials: moments, strong Law of Large Numbers and Central Limit Theorem

Michele Ancona, Thomas Letendre

We study the number of real roots of a Kostlan random polynomial of degree $d$ in one variable. More generally, we are interested in the distribution of the counting measure of the…

math.AG2019★ 1 cited

Critical points of random branched coverings of the Riemann sphere

Michele Ancona

Given a closed Riemann surface $Σ$ equipped with a volume form $ω$ , we construct a natural probability measure on the space $M_{d} (Σ)$ of degree $d$ branched coverings from…

math.AG2018

Random sections of line bundles over real Riemann surfaces

Michele Ancona

Let $L$ be a positive line bundle over a Riemann surface $Σ$ defined over $R$ . We prove that sections $s$ of $L^{d}$ , $d ≫ 0$ , whose number of real zero…

math.AG2017★ 1 cited

Expected number and distribution of critical points of real Lefschetz pencils

Michele Ancona

We give an asymptotic probabilistic real Riemann-Hurwitz formula computing the expected real ramification index of a random covering over the Riemann sphere. More generally, we stu…