A convenient setting for holomorphy
A Free Convenient Vector Space for Holomorphic Spaces.
A rank theorem for analytic maps between power series spaces
Classification of degree 2 polynomial automorphisms of C3.
For the family of degree at most 2 polynomial self-maps of C3 with nowhere vanishing Jacobian determinant, we give the following classification: for any such map f, it is affinely conjugate to one of the following maps:(i) An affine automorphism;(ii) An elementary polynomial autormorphismE(x, y, z) = (P(y, z) + ax, Q(z) + by, cz + d),where P and Q are polynomials with max{deg(P), deg(Q)} = 2 and abc ≠ 0.(iii)⎧ H1(x, y, z) = (P(x, z) + ay, Q(z) + x, cz + d)⎪ H2(x, y, z) = (P(y, z) + ax, Q(y)...
Classification of recurrent domains for some holomorphic maps.
Complex dynamical systems on bounded symmetric domains.
CR mappings and their holomorphic extension
Cylindrical contact homology of subcritical Stein-fillable contact manifolds.
Extending holomorphic maps from compact sets in infinite dimensions
Fano manifolds of degree ten and EPW sextics
O’Grady showed that certain special sextics in called EPW sextics admit smooth double covers with a holomorphic symplectic structure. We propose another perspective on these symplectic manifolds, by showing that they can be constructed from the Hilbert schemes of conics on Fano fourfolds of degree ten. As applications, we construct families of Lagrangian surfaces in these symplectic fourfolds, and related integrable systems whose fibers are intermediate Jacobians.
Fixed points and periodic points of semiflows of holomorphic maps.
Globally invertible differentiable or holomorphic maps
Harmonie Mappings and Kähler Manifolds.
Holomorphic mappings between spaces of different dimensions. II.
Holomorphic mappings between spaces of different dimensions. I.
Holomorphic maps of uniform type
Intégration des équations de Cauchy-Riemann induites formelles
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Klassifikation 2-dimensionaler Singularitäten mit auflösbaren lokalen Fundamentalgruppen.
La dimension de la frontière d'un ensemble analytique dans son saturé par une application
Soit une application analytique propre entre des ouverts de , soit un sous-ensemble analytique de et soit . On donne des conditions pour que soit de codimension 1 dans .