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Issue no. 1 Table of Contents

The flatness of the 𝒪-module of smooth functions and integral representation
Mats Andersson
Existence and uniqueness of S 1 -invariant Kähler–Ricci solitons
Johannes Schäfer
Irrational pencils and Betti numbers
Francisco Nicolás; Pierre Py
About relative polar varieties and Brasselet numbers
Hellen Santana
On stability of rotational 2D binary Bose–Einstein condensates
Rémi Carles; Van Duong Dinh; Hichem Hajaiej
Sobolev’s inequality under a curvature-dimension condition
Louis Dupaigne; Ivan Gentil; Simon Zugmeyer
Proper superminimal surfaces of given conformal types in the hyperbolic four-space
Franc Forstnerič
Remark on an inequality for closed hypersurfaces in complete manifolds with nonnegative Ricci curvature
Xiaodong Wang
Minimal hypersurfaces and geometric inequalities
Simon Brendle

Issue no. 2 Table of Contents

Dynamical pairs with an absolutely continuous bifurcation measure
Thomas Gauthier
Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points
Takayuki Koike
Nonlinear stability of chemotactic clustering with discontinuous advection
Vincent Calvez; Franca Hoffmann
Intégration de Hecke de fonctions singulières
Laurent Clozel
Hodge numbers and Hodge structures for 3-Calabi–Yau categories
Roland Abuaf
Infinite dimensional representations of orthogonal groups of quadratic forms with finite index
Bruno Duchesne
Brilliant families of K3 surfaces: Twistor spaces, Brauer groups, and Noether–Lefschetz loci
Daniel Huybrechts

Issue no. 3 Table of Contents

Gelfand–Tsetlin polytopes and random contractions away from the limiting shape.
Benoît Collins; Anthony Metcalfe
An example of resonance instability
Jean-François Bony; Setsuro Fujiié; Thierry Ramond; Maher Zerzeri
Vertex links and the Grushko decomposition
M S. Suraj Krishna
Yet another heat semigroup characterization of BV functions on Riemannian manifolds
Patricia Alonso Ruiz; Fabrice Baudoin

Issue no. 4 Table of Contents

Abelian varieties as automorphism groups of smooth projective varieties in arbitrary characteristics
Jérémy Blanc; Michel Brion
Realisation of Abelian varieties as automorphism groups
Mathieu Florence
Correspondance de Langlands et facteurs ε des carrés extérieur et symétrique
[Langlands correspondence and ε-factors for exterior and symmetric square]
Guy Henniart
Kashiwara–Vergne and dihedral bigraded Lie algebras in mould theory
Hidekazu Furusho; Nao Komiyama
Quantum groups based on spatial partitions
Guillaume Cébron; Moritz Weber
A construction of representations of 3-manifold groups into PU(2,1) through Lefschetz fibrations
Ruben Dashyan