4 citations · 11 across the 11 of their papers we have counts for
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Modules of derivations, logarithmic ideals and singularities of maps on analytic varieties
Carles Bivià-Ausina, Konstantinos Kourliouros, Maria Aparecida Soares Ruas
We introduce the module of derivations attached to a given analytic map and a submodule and analyse sev…
Relative Logarithmic Cohomology and Nambu Structures of Maximal Degree
Konstantinos Kourliouros
We present local classification results for isolated singularities of functions with respect to a Nambu structure (multi-vector field) of maximal degree, in a neighbourhood of a sm…
The Milnor-Palamodov Theorem for Functions on Isolated Hypersurface Singularities
Konstantinos Kourliouros
In this note we give a simple proof of the following relative analog of the well known Milnor-Palamodov theorem: the Bruce-Roberts number of a function relative to an isolated hype…
Gauss-Manin Connections for Boundary Singularities and Isochore Deformations
Konstantinos Kourliouros
We study here the relative cohomology and the Gauss-Manin connections associated to an isolated singularity of a function on a manifold with boundary, i.e. with a fixed hyperplane…