A finiteness theorem for \ $S-$relative formal Brieskorn modules
Daniel Barlet (IUF, IECN)
TL;DR
This paper proves a finiteness theorem for holomorphic families of Brieskorn modules arising from degenerations of compact complex manifolds with singularities, advancing understanding in complex geometry.
Contribution
It establishes a general finiteness result for S-relative formal Brieskorn modules in degenerating families of complex manifolds.
Findings
Finiteness of holomorphic families of Brieskorn modules.
Applicability to degenerations with singularities.
Enhancement of theoretical understanding in complex geometry.
Abstract
We give a general result of finiteness for holomorphic families of Brieskorn modules constructed from a holomorphic family of one parameter degeneration of compact complex manifolds acquiring (general) singularities.
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Taxonomy
TopicsHolomorphic and Operator Theory · Homotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds