Francesca Bianchi

activity

20222026

most citedAn optimal lower bound in fractional spectral geometry for planar sets with topological constraints

5 citations · 9 across the 7 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AP2023

On the spectrum of sets made of cores and tubes

Francesca Bianchi, Lorenzo Brasco, Roberto Ognibene

We analyze the spectral properties of a particular class of unbounded open sets. These are made of a central bounded ``core'', with finitely many unbounded tubes attached to it. We…

math.NT2023

p-Adic sigma functions and heights on Jacobians of genus 2 curves

Francesca Bianchi

Let $C$ be a genus $2$ hyperelliptic curve over a number field $K$ , with a Weierstrass point $\infty$ at infinity, let $J$ be its Jacobian, let $Θ$ be the theta divisor with respec…

math.AP2023★ 5 cited

An optimal lower bound in fractional spectral geometry for planar sets with topological constraints

Francesca Bianchi, Lorenzo Brasco

We prove a lower bound on the first eigenvalue of the fractional Dirichlet-Laplacian of order $s$ on planar open sets, in terms of their inradius and topology. The result is optima…