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Sommaire du Fascicule no. 1

The flatness of the 𝒪-module of smooth functions and integral representation
p. 1-14
Existence and uniqueness of S 1 -invariant Kähler–Ricci solitons
[Sur l’existence et l’unicité des solitons de Kähler–Ricci S 1 -invariantes]
p. 15-53
Irrational pencils and Betti numbers
p. 55-67
About relative polar varieties and Brasselet numbers
p. 69-80
On stability of rotational 2D binary Bose–Einstein condensates
[Sur la stabilité des condensats de Bose–Einstein 2D en rotation]
p. 81-124
Sobolev’s inequality under a curvature-dimension condition
p. 125-144
Proper superminimal surfaces of given conformal types in the hyperbolic four-space
p. 145-172
Remark on an inequality for closed hypersurfaces in complete manifolds with nonnegative Ricci curvature
p. 173-178
Minimal hypersurfaces and geometric inequalities
p. 179-201

Sommaire du Fascicule no. 2

Dynamical pairs with an absolutely continuous bifurcation measure
p. 203-230
Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points
p. 231-285
Nonlinear stability of chemotactic clustering with discontinuous advection
p. 287-318
Intégration de Hecke de fonctions singulières
p. 319-335
Hodge numbers and Hodge structures for 3-Calabi–Yau categories
p. 337-369
Infinite dimensional representations of orthogonal groups of quadratic forms with finite index
p. 371-396
Brilliant families of K3 surfaces: Twistor spaces, Brauer groups, and Noether–Lefschetz loci
p. 397-421

Sommaire du Fascicule no. 3

Gelfand–Tsetlin polytopes and random contractions away from the limiting shape.
[Polytopes de Gelfand-Tsetlin et contractions aléatoires loin de la forme limite.]
p. 423-533
An example of resonance instability
p. 535-554
Vertex links and the Grushko decomposition
p. 555-576
Yet another heat semigroup characterization of BV functions on Riemannian manifolds
p. 577-606

Sommaire du Fascicule no. 4

Abelian varieties as automorphism groups of smooth projective varieties in arbitrary characteristics
p. 607-622
Realisation of Abelian varieties as automorphism groups
p. 623-638
Correspondance de Langlands et facteurs ε des carrés extérieur et symétrique
p. 639-653
Kashiwara–Vergne and dihedral bigraded Lie algebras in mould theory
p. 655-725
Quantum groups based on spatial partitions
p. 727-768
A construction of representations of 3-manifold groups into PU(2,1) through Lefschetz fibrations
p. 769-803

Sommaire du Fascicule no. 5

An explicit estimate of the Bergman kernel for positive line bundles
[Une estimation explicite du noyau de Bergman pour les fibrés de droites positifs]
p. 805-816
Une représentation des cobords faibles d’un système dynamique
p. 817-821
On the variational interpretation of local logarithmic Sobolev inequalities
p. 823-837
Complement to Tautological classes on moduli spaces of hyper-Kähler manifolds
p. 839-854
A Nonvanishing Conjecture for Cotangent Bundles
p. 855-892
A decomposition theorem for singular Kähler spaces with trivial first Chern class of dimension at most four
p. 893-909
Intrinsic volumes of sublevel sets
[Volumes intrinsèques des ensembles de sous-niveau]
p. 911-938
Spectral monotonicity under Gaussian convolution
p. 939-967
Degeneration from difference to differential Okamoto spaces for the sixth Painlevé equation
p. 969-1041