B. Dirks

activity

20202026

k

-rationality for local complete intersections

2 citations · 5 across the 19 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.AG2024

Restrictions of mixed Hodge modules using generalized V-filtrations

Qianyu Chen, Bradley Dirks, Sebastian Olano

We study generalized $V$ -filtrations, defined by Sabbah, on $D$ -modules underlying mixed Hodge modules on $X \times A^{r}$ . Using cyclic covers, we compare these filt…

math.AG2024

Fourier transform and Radon transform for mixed Hodge modules

Bradley Dirks

We give a generalization to bi-filtered $D$ -modules underlying mixed Hodge modules of the relation between microlocalization along $f_{1}, ..., f_{r} \in O_{X} (X)$ and va…

math.AG2024★ 1 cited

The minimal exponent of cones over smooth complete intersection projective varieties

Qianyu Chen, Bradley Dirks, Mircea Mustaţă

We compute the minimal exponent of the affine cone over a complete intersection of smooth projective hypersurfaces intersecting transversely. The upper bound for the minimal expone…

math.AG2024

An introduction to $V$ -filtrations

Qianyu Chen, Bradley Dirks, Mircea Mustaţă

We give an introduction to the theory of $V$ -filtrations of Malgrange and Kashiwara. After discussing the basic properties of this construction (in the case of a smooth hypersurfac…

Restrictions of mixed Hodge modules using generalized V-filtrations

Fourier transform and Radon transform for mixed Hodge modules

The minimal exponent of cones over smooth complete intersection projective varieties

An introduction to V-filtrations

An introduction to $V$ -filtrations