Rigidity index preservation of regular holonomic D-modules

2012/05/04 by Paiva, Adelino
#14F10 (Primary) 11E99 (Secondary) #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1205.0951

Abstract

This paper shows algebraically that the Fourier transform preserves the rigidity index of irreducible regular holonomic D_ℙ¹[*\∞\]-modules.

Related

• On Irregularities of Fourier Transforms of Regular Holonomic D-Modules
• On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules
• Local Fourier transforms and rigidity for D-modules
• Regular and irregular holonomic D-modules
• A Morse theoretical approach to Fourier transforms of holonomic D-modules in dimension one