Hyperplane complements of large type.
Hyperplane section of the complex Cayley plane as the homogeneous space
We prove that the exceptional complex Lie group has a transitive action on the hyperplane section of the complex Cayley plane . Although the result itself is not new, our proof is elementary and constructive. We use an explicit realization of the vector and spin actions of . Moreover, we identify the stabilizer of the -action as a parabolic subgroup (with Levi factor ) of the complex Lie group . In the real case we obtain an analogous realization of .
Hyperplane singularities of analytic functions of several complex variables.
Hypersurfaces intégrales des feuilletages holomorphes
Soit un germe en de 1-forme différentielle holomorphe, satisfaisant la condition d’intégrabilité et non dicritique, i.e. sur toute surface non intégrale de , on ne peut tracer, au voisinage de 0, qu’un nombre fini de germes de courbes analytiques , intégrales de , avec . Alors possède un germe d’hypersurface analytique intégrale.
Hypersurfaces Levi-plates immergées dans les surfaces complexes de courbure positive
Hypersurfaces of inifnite dimensional Banach spaces, Bertini theorems and embeddings of projective spaces.
Hypersurfaces with singular locus a plane curve and transversal type
Hypoellipticité pour l'opérateur ... .
Ideal CR submanifolds in non-flat complex space forms
An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.
Ideals of the Lie algebras of vector fields
Idéaux de fonctions analytiques bornées stables par dérivation
Identifying variable points on a smooth curve.
Identité de Bernstein pour une fonction homogène à singularité isolée
Identity surfaces.
Image of analytic hypersurfaces. II.
Images inverses des modules différentiels
Imbedding of Power Series Spaces and Spaces of Analytic Functions.
Implicit function theorem for locally blow-analytic functions
In this paper we prove the implicit function theorem for locally blow-analytic functions, and as an interesting application of using blow-analytic homeomorphisms, we describe a very easy way to resolve singularities of analytic curves.
Improper intersection of analytic curves.