Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Rings and Algebras (math.RA)

journal:

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date:

2023-06-29 16:00:00

Abstract

Let Z be the germ of a complex hypersurface isolated singularity of equation f, with Z at least of dimension 2. We consider the family of analytic D-modules generated by the powers of 1/f and describe it in terms of the pole order filtration on the de Rham cohomology of the complement of {f=0} in the neighborhood of the singularity.