Why (a,b)-modules, frescos and themes ?

2021/02/10 by Daniel Barlet, Barlet, Daniel
Mathematics · #Holomorphic and Operator Theory #Advanced Algebra and Geometry #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2102.05350

Abstract

This text is an advocacy for the use of (a,b)-modules (formal Brieskorn modules) in the study of the singularity of a holomorphic function on a complex manifold. It gives a short an elementary overview on this simple algebraic tool.

Citations

• Contruction of quasi-invariant holomorphic parameters for the Gauss-Manin connection of a holomorphic map to a curve (second version)

Related

• On the Brieskorn (a,b)-module of an hypersurface singularity
• Finite determination of regular (a,b)-modules
• Generalized Brieskorn Modules III. The algebra A_conv.
• A finiteness theorem for S-relative formal Brieskorn modules
• Two finiteness theorem for (a,b)-module