3 papers
math.AG2025
Three results on holonomic D-modules
Claude Sabbah
In this text, we illustrate the use of local methods in the theory of (irregular) holonomic D-modules. I. (The Euler characteristic of the de~Rham complex) We show the invariance o…
math.AG2024
Kodaira-Saito vanishing for the irregular Hodge filtration
Claude Sabbah
After making correct, and then improving, our definition of the category of irregular mixed Hodge modules thanks to Mochizuki's recent results arXiv:2108.03843, we show how these r…
math.AG2023
Singularities of functions: a global point of view
Claude Sabbah
This text surveys cohomological properties of pairs consisting of a smooth complex quasi-projective variety together with a regular function on~it. On the one hand, one…