Resumen de On V-filtration, Hodge filtration and Fourier transform
For i : Z → X a closed immersion of smooth varieties, we study how the V-filtration along Z and the Hodge filtration on a mixed Hodge moduleMon X interact with each other. We also give a formula for the functors i∗,i! in terms of this V-filtration. As applications, we obtain results on the Hodge filtration of monodromic mixed Hodge modules and we give a Hodge theoretic proof of Skoda’s theorem on multiplier ideals. Finally, we use the results to study the Fourier–Laplace transform of a monodromic mixed Hodge module.
