Issue no. 1 Table of Contents

Infinis morphismes de Leibniz pour les crochets dérivés
Cyclic covers of Stable curves and their moduli spaces
Nadel–Nakano vanishing theorems of vector bundles with singular Hermitian metrics
Grothendieck and vanishing cycles
Integral representation of moderate cohomology
Two-parameter unfolding of a parabolic point of a vector field in ℂ fixing the origin
Curvature of higher direct images
On the conductor of cohomological transforms

Issue no. 2 Table of Contents

Volume spécial à l’occasion du semestre thématique “Calculus of Variations and Probability”

Volume spécial à l’occasion du semestre thématique “Calculus of Variations and Probability”
On divergent fractional Laplace equations
Discrete variants of Brunn–Minkowski type inequalities
Trace theory for Sobolev mappings into a manifold
Torus-like solutions for the Landau–De Gennes model.
Topological singularities for vector-valued Sobolev maps and applications
Regularity of optimal transport maps on locally nearly spherical manifolds
Displacement convexity of Entropy and the distance cost Optimal Transportation

Issue no. 3 Table of Contents

Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains Application to the Extended Courant Property
On the definition of a solution to a rough differential equation
A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions
Exponential rate for the contact process extinction time
On equivalence of singularities of second order linear differential equations by point transformations
Logarithmic foliations
A right inverse of Cauchy–Riemann operator ∂ ¯ k +a in the weighted Hilbert space L 2 (ℂ,e -|z| 2 )
Dirichlet twists of GL n -automorphic L-functions and hyper-Kloosterman Dirichlet series

Issue no. 4 Table of Contents

Magnetic Ginzburg–Landau energy with a periodic rapidly oscillating and diluted pinning term
The Poincaré-Lefschetz pairing viewed on Morse complexes
On the Iitaka Conjecture C n,m for Kähler Fibre Spaces
Geometric measure theory and differential inclusions

Issue no. 5 Table of Contents

Residue currents and cycles of complexes of vector bundles
Orthogonal polynomials and diffusion operators
Homogenization of Maxwell’s equations and related scalar problems with sign-changing coefficients
On the top-dimensional ℓ 2 -Betti numbers
On the time of existence of solutions of the Euler–Korteweg system