Microlocalisation et estimations pour
Microlocalisation tempérée
Micro-support and Cauchy problem for temperate solutions of regular -modules.
Milnor algebras versus modular germs for unimodal hypersurface singularities.
Milnor fibration at infinity for mixed polynomials
We study the existence of Milnor fibration on a big enough sphere at infinity for a mixed polynomial f: ℝ2n → ℝ2. By using strongly non-degenerate condition, we prove a counterpart of Némethi and Zaharia’s fibration theorem. In particular, we obtain a global version of Oka’s fibration theorem for strongly non-degenerate and convenient mixed polynomials.
Milnor numbers and the topology of polynomial hypersurfaces.
Minimal Characteristic Exponent of the Gauss-Manin Connection of Isolated Singular Point and Newton Polyhedron.
Minimal equations, global reducibility of holomorphic functions, and relative rationality of analytic sets
Minimal generation of basic open semianalytic sets.
Minimal models of foliated algebraic surfaces
Minimal, rigid foliations by curves on
We prove the existence of minimal and rigid singular holomorphic foliations by curves on the projective space for every dimension and every degree . Precisely, we construct a foliation which is induced by a homogeneous vector field of degree , has a finite singular set and all the regular leaves are dense in the whole of . Moreover, satisfies many additional properties expected from chaotic dynamics and is rigid in the following sense: if is conjugate to another holomorphic foliation...
Minimal surfaces in pseudohermitian geometry
We consider surfaces immersed in three-dimensional pseudohermitian manifolds. We define the notion of (p-)mean curvature and of the associated (p-)minimal surfaces, extending some concepts previously given for the (flat) Heisenberg group. We interpret the p-mean curvature not only as the tangential sublaplacian of a defining function, but also as the curvature of a characteristic curve, and as a quantity in terms of calibration geometry. As a differential equation, the p-minimal surface equation...
Minimal surfaces in sub-riemannian manifolds and structure of their singular sets in the case
We study minimal surfaces in sub-riemannian manifolds with sub-riemannian structures of co-rank one. These surfaces can be defined as the critical points of the so-called horizontal area functional associated with the canonical horizontal area form. We derive the intrinsic equation in the general case and then consider in greater detail -dimensional surfaces in contact manifolds of dimension . We show that in this case minimal surfaces are projections of a special class of -dimensional surfaces...
Minimal surfaces in sub-Riemannian manifolds and structure of their singular sets in the (2,3) case
We study minimal surfaces in sub-Riemannian manifolds with sub-Riemannian structures of co-rank one. These surfaces can be defined as the critical points of the so-called horizontal area functional associated with the canonical horizontal area form. We derive the intrinsic equation in the general case and then consider in greater detail 2-dimensional surfaces in contact manifolds of dimension 3. We show that in this case minimal surfaces are projections of a special class of 2-dimensional surfaces...
Minimal Varieties and Harmonic Maps in Tori.
Minimal varieties with trivial canonical classes, I.
Minimaux des feuilletages algébriques de
Minimizing the Energy of Maps from a surface into a 2-shpere with prescribed degree and boundary values.
Minorations de nombres de Milnor
Mirror symmetry and Arnold's duality.