Local embeddings of lines in singular hypersurfaces
Lines on hypersurfaces with isolated singularities are classified. New normal forms of simple singularities with respect to lines are obtained. Several invariants are introduced.
Local existence theorems with estimates for ...b on weakly pseudo convex CR manifolds.
Local generalizations of Lefschetz-Zariski theorems.
Local geometry of zero sets of holomorphic functions near the torus.
Local holomorphic extendability and non-extendability of -functions on smooth boundaries
Local Holomorphic Factorization for Free Conformal Fields
Local Homological Properties of Analytic Sets.
Local homology and cohomology on schemes
Local index theory and higher analytic torsion.
Local inequalities for plurisubharmonic functions.
Local Moduli for Complex Analytic Vector Bundles.
Local Peak Sets in Weakly Pseudoconvex Boundaries in
We give a sufficient condition for a (resp. )-totally real, complex-tangential, -dimensional submanifold in a weakly pseudoconvex boundary of class (resp. ) to be a local peak set for the class (resp. ). Moreover, we give a consequence of it for Catlin’s multitype.
Local q-completeness of complements of smooth CR-submanifolds.
Local regularity for the tangential Cauchy-Riemann complex.
Local rigidity of discrete groups acting on complex hyperbolic space.
Local semianalytic geometry.
Local uniform linear convexity with respect to the Kobayashi distance.
Local volumes of Cartier divisors over normal algebraic varieties
In this paper we study a notion of local volume for Cartier divisors on arbitrary blow-ups of normal complex algebraic varieties of dimension greater than one, with a distinguished point. We apply this to study an invariant for normal isolated singularities, generalizing a volume defined by J. Wahl for surfaces. We also compare this generalization to a different one arising in recent work of T. de Fernex, S. Boucksom, and C. Favre.
Local vs. global hyperconvexity, tautness or -completeness for unbounded open sets in
Some known localization results for hyperconvexity, tautness or -completeness of bounded domains in are extended to unbounded open sets in .
Localisation de systèmes différentiels, stratifications de Whitney et condition de Thom.