Mohan; Ram Krishna Pandey - Generalized H-fold sumset and Subsequence sum
Let A and H be nonempty finite sets of integers and positive integers, respectively. The generalized H-fold sumset, denoted by H(r)A, is the union of the sumsets h(r)A for h∈H where, the sumset h(r)A...
View ArticleGiovanni Brigati; Jean Dolbeault et al. - On Gaussian interpolation inequalities
Cet article est consacré à des inégalités d’interpolation Gaussiennes, avec comme cas extrêmes l’inégalité de Poincaré Gaussienne et l’inégalité de Sobolev logarithmique, vues comme limites en grandes...
View ArticleJi-Zhen Xu; Yong-Gao Chen - On subsets of asymptotic bases
Let h≥2 be an integer. In this paper, we prove that if A is an asymptotic basis of order h and B is a nonempty subset of A, then either there exists a finite subset F of A such that F∪B is an...
View ArticleMarcin Lara; Vasudevan Srinivas et al. - Fundamental groups of proper...
Il a été prouvé dans [1], que le groupe fondamental étale d’une variété projective lisse connexe sur un corps algébriquement clos k est topologiquement de présentation finie. Dans cette note, nous...
View ArticleChiara Damiolini - On equivariant bundles and their moduli spaces
Soit G un groupe algébrique et Γ un sous-groupe fini d’automorphismes de G. Nous fixons également un Γ-revêtement éventuellement ramifié X˜→X. Dans ce cadre, on peut définir la notion de (Γ,G)-fibré...
View ArticleMarco D’Addezio - Some remarks on the companions conjecture for normal varieties
Drinfeld in 2010 proved the companions conjecture for smooth varieties over a finite field, generalizing L. Lafforgue’s result for smooth curves. We study the obstruction to prove the conjecture for...
View ArticleShi-Qiang Chen; Csaba Sándor et al. - On a problem of Nathanson related to...
For integer h≥2 and A⊆ℕ, we define hA to be the set of all integers which can be written as a sum of h, not necessarily distinct, elements of A. The set A is called an asymptotic basis of order h if...
View ArticleNikolay Tzvetkov - New non degenerate invariant measures for the Benjamin–Ono...
We show that the recent work by Gérard–Kappeler–Topalov can be used in order to construct new non degenerate invariant measures for the Benjamin–Ono equation on the Sobolev spaces Hs, s>-1/2.
View ArticleMohamed Jleli; Bessem Samet - On the critical behavior for a Sobolev-type...
We investigate the existence and nonexistence of weak solutions to the Sobolev-type inequality -∂t(Δu)-Δu+σ|x|2u≥|x|μ|u|p in (0,∞)×B, under the inhomogeneous Dirichlet-type boundary condition...
View ArticleRamandeep Kaur; Sandeep Singh - On direct and inverse problems related to...
Let A be a nonempty finite set of integers. For a real number m, the set m·A={ma:a∈A} denotes the set of m-dilates of A. In 2008, Bukh initiated an interesting problem of finding a lower bound for the...
View ArticleYi Zhu - Fano hypersurfaces in positive characteristic
We prove that a general Fano hypersurface in a projective space over an algebraically closed field is separably rationally connected.
View ArticleAnna Bot - The ordinal of dynamical degrees of birational maps of the...
Nous démontrons que l’ordinal des degrés dynamiques de toutes les transformations birationnelles du plan projectif complexe est ωω.
View ArticleBernhard Keller; Junyang Liu - Calabi–Yau structures on Drinfeld quotients...
En 2009, Claire Amiot a donné une construction de structures de Calabi–Yau sur les quotients de Verdier. Nous esquissons comment la relever au cadre dg. Nous utilisons cette construction comme une...
View ArticleMarc Noy; Clément Requilé et al. - Enumeration of rooted 3-connected...
Nous apportons la première solution au problème du dénombrement des cartes enracinées plan-aires qui sont biparties et 3-connexes. Notre point de départ est l’énumération des cartes planaires...
View ArticlePhilippe Gille - Loop group schemes and Abhyankar’s lemma
On définit la notion de schémas en groupes réductifs de lacets au-dessus du localisé d’un anneau hensélien A en un diviseur à croisements normaux stricts D. On établit un critère pour qu’un tel schéma...
View ArticleJulien Boulanger; Sam Freedman - There are no primitive Teichmüller curves in...
Nous terminons un travail initié par Lanneau et Möller [4] en montrant qu’il n’existe pas de courbes de Teichmüller primitives dans Prym(2,2).
View ArticleYuan Zhang - Sobolev regularity of the canonical solutions to ∂¯ on product...
Let Ω be a product domain in ℂn,n≥2, where each slice has smooth boundary. We observe that the canonical solution operator for the ∂¯ equation on Ω is bounded in Wk,p(Ω), k∈ℤ+,1<p<∞. This Sobolev...
View ArticleJianglong Wu; Yunpeng Chang - Characterization of Lipschitz Spaces via...
In this paper, the main aim is to give some characterizations of the boundedness of the maximal or nonlinear commutator of the p-adic fractional maximal operator ℳαp with the symbols belong to the...
View ArticleBehrouz Emamizadeh; Yichen Liu et al. - A general existence theorem for a...
In this paper, we propose a general existence theorem for a multi-valued control problem. The proof of the theorem is based on a decomposition result of the weak☆ closure of the set containing all the...
View ArticleShane Chern; Lin Jiu - Hankel determinants and Jacobi continued fractions for...
The q-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the q-Bernoulli numbers established by Chapoton and Zeng, we...
View Article
