The hard Lefschetz theorem and the topology of semismall maps
The singularities of Yang-Mills connections for bundles on a surface.
The stack of microlocal perverse sheaves
In this paper we construct the abelian stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Following ideas of Andronikof we first consider microlocal perverse sheaves at a point using classical tools from microlocal sheaf theory. Then we will use Kashiwara-Schapira’s theory of analytic ind-sheaves to globalize our construction. This presentation allows us to formulate explicitly a global microlocal Riemann-Hilbert correspondence.
Truncated microsupport and holomorphic solutions of D-modules
Über einige lokale Homotopieeigenschaften für Reell- und Komplex-Analytische Okasche Paare.
Universal topological stratification for the Pham example
Variétés polaires, stratifications de Whitney et classes de Chern des espaces analytiques complexes
Volume and multiplicities of real analytic sets
We give criteria of finite determinacy for the volume and multiplicities. Given an analytic set described by {v = 0}, we prove that the log-analytic expansion of the volume of the intersection of the set and a "little ball" is determined by that of the set defined by the Taylor expansion of v up to a certain order if the mapping v has an isolated singularity at the origin. We also compare the cardinalities of finite fibers of projections restricted to such a set.
Whitney (b)-regularity is weaker than Kuo's ratio test for real algebraic stratifications.
Whitney regularity and generic wings
Given adjacent subanalytic strata in verifying Kuo’s ratio test (resp. Verdier’s -regularity) we find an open dense subset of the codimension submanifolds (wings) containing such that is generically Whitney -regular is exactly one more than the dimension...
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