Lipschitz spaces of holomorphic and pluriharmonic functions on bounded symmetric domains in (N>1)
Lipschitz stratification of real analytic sets
Lipschitz stratification of subanalytic sets
Lipschitz stratifications and Lipschitz isotopies
Littlewood-Paley type inequalities for -harmonic functions.
Littlewood-Paley Type Inequalities for M-harmonic Functions
Littlewood-Paley-Stein theory on Cn and Weyl multipliers.
L’obstruction d’Euler locale d’une application
L’objectif dans ce travail est de présenter une généralisation pour l’obstruction d’Euler locale d’une fonction holomorphe singulière à l’origine dans le cas d’une application holomorphe , où est un germe de variété analytique complexe, équidimensionnel de dimension . Le résultat principal (Théorème 6.1) exprime l’obstruction d’Euler locale, définie pour un -repère par Brasselet, Seade, Suwa, en fonction de l’obstruction d’Euler relative à .
Local algebraicity of analytic sets.
Local analytic invariants
Local analytic rings
Local and global theory of the moduli of polarized Calabi-Yau manifolds.
In this paper we review the moduli theory of polarized CY manifolds. We briefly sketched Kodaira-Spencer-Kuranishi local deformation theory developed by the author and G. Tian. We also construct the Teichmüller space of polarized CY manifolds following the ideas of I. R. Shafarevich and I. I. Piatetski-Shapiro. We review the fundamental result of E. Viehweg about the existence of the course moduli space of polarized CY manifolds as a quasi-projective variety. Recently S. Donaldson computed the moment...
Local Boundary Regularity of the Canonical Einstein-Kähler Metric on Pseudoconvex Domains.
Local Cohomolgy Along Exceptional Sets.
Local cohomology of logarithmic forms
Let be a divisor on a smooth algebraic variety . We investigate the geometry of the Jacobian scheme of , homological invariants derived from logarithmic differential forms along , and their relationship with the property that be a free divisor. We consider arrangements of hyperplanes as a source of examples and counterexamples. In particular, we make a complete calculation of the local cohomology of logarithmic forms of generic hyperplane arrangements.
Local cohomology of sheaves of differential forms and Hodge theory.
Local Complex Foliation of Real Submanifolds.
Local Contributions to Global Deformations of Surfaces.
Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I.
Local dynamics of holomorphic diffeomorphisms
This is a survey about local holomorphic dynamics, from Poincaré's times to nowadays. Some new ideas on how to relate discrete dynamics to continuous dynamics are also introduced. It is the text of the talk given by the author at the XVII UMI Congress at Milano.