Zobrazeno 1 - 10
of 995
pro vyhledávání: '"Bianchi, Francesca"'
We give a partial negative answer to a question left open in a previous work by Brasco and the first and third-named authors concerning the sharp constant in the fractional Hardy inequality on convex sets. Our approach has a geometrical flavor and eq
Externí odkaz:
http://arxiv.org/abs/2407.08373
In this paper, we develop an algorithm for computing Coleman--Gross (and hence Nekov\'a\v{r}) $p$-adic heights on hyperelliptic curves over number fields with arbitrary reduction type above $p$. This height is defined as a sum of local heights at eac
Externí odkaz:
http://arxiv.org/abs/2402.00169
We develop a theory of $p$-adic N\'eron functions on abelian varieties, depending on various auxiliary choices, and show that the global $p$-adic height functions constructed by Mazur and Tate can be decomposed into a sum of $p$-adic N\'eron function
Externí odkaz:
http://arxiv.org/abs/2310.15049
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 adopt an elementary and purely variational point of view, studying th
Externí odkaz:
http://arxiv.org/abs/2306.16895
Autor:
Bianchi, Francesca
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 $\Theta$ be the theta divisor with respect to $\infty$, and let $p$ be any prime number. We give an explic
Externí odkaz:
http://arxiv.org/abs/2302.03454
Autor:
Bianchi, Francesca, Brasco, Lorenzo
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 optimal, in many respects. In particular, we recover a classical result prov
Externí odkaz:
http://arxiv.org/abs/2301.08017
Autor:
Bianchi, Francesca, Padurariu, Oana
Building on work of Balakrishnan, Dogra, and of the first author, we provide some improvements to the explicit quadratic Chabauty method to compute rational points on genus $2$ bielliptic curves over $\mathbb{Q}$, whose Jacobians have Mordell-Weil ra
Externí odkaz:
http://arxiv.org/abs/2212.11635
We study the sharp constant in the Hardy inequality for fractional Sobolev spaces defined on open subsets of the Euclidean space. We first list some properties of such a constant, as well as of the associated variational problem. We then restrict the
Externí odkaz:
http://arxiv.org/abs/2209.03012
We prove a characterization of Hardy's inequality in Sobolev-Slobodecki\u{\i} spaces in terms of positive local weak supersolutions of the relevant Euler-Lagrange equation. This extends previous results by Ancona and Kinnunen & Korte for standard Sob
Externí odkaz:
http://arxiv.org/abs/2209.03011
Autor:
Bianchi, Francesca1,2 (AUTHOR) lucia.sfondrini@unimi.it, Le Noci, Valentino1 (AUTHOR), Bernardo, Giancarla1 (AUTHOR), Gagliano, Nicoletta1 (AUTHOR), Colombo, Graziano3 (AUTHOR), Sommariva, Michele1,4 (AUTHOR), Palazzo, Michele5 (AUTHOR), Dalle-Donne, Isabella3 (AUTHOR), Milzani, Aldo3 (AUTHOR), Pupa, Serenella4 (AUTHOR), Tagliabue, Elda4 (AUTHOR), Sfondrini, Lucia1,4 (AUTHOR) lucia.sfondrini@unimi.it
Publikováno v:
PLoS ONE. 5/22/2024, Vol. 19 Issue 5, p1-18. 18p.