2 citations · 4 across the 9 of their papers we have counts for
11 papers
Filtrations on Local Cohomology and Injectivity Theorems
Qianyu Chen, Bradley Dirks, Sebastian Olano
We prove that the Hodge filtration on local cohomology is contained in the symbolic Ext filtration, and hence in the usual Ext filtration, answering a question of Mustata and Popa.…
Hodge theory of secant varieties
Qianyu Chen, Bradley Dirks, Sebastian Olano +1
We study the local cohomology modules for the secant variety of lines of a smooth projective variety and for higher secant varieties of smooth projective curves. We show that t…
Partial Cohomologically Complete Intersections via Hodge Theory
Qianyu Chen, Bradley Dirks, Sebastian Olano
We introduce an invariant associated to any complex algebraic variety , which for varieties with isolated singularities measures the failure of dual Kodaira-Akizuki-Nakan…
Restrictions of mixed Hodge modules using generalized V-filtrations
Qianyu Chen, Bradley Dirks, Sebastian Olano
We study generalized -filtrations, defined by Sabbah, on -modules underlying mixed Hodge modules on . Using cyclic covers, we compare these filt…
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…
An introduction to -filtrations
Qianyu Chen, Bradley Dirks, Mircea Mustaţă
We give an introduction to the theory of -filtrations of Malgrange and Kashiwara. After discussing the basic properties of this construction (in the case of a smooth hypersurfac…
Verdier specialization and restrictions of Hodge modules
Qianyu Chen, Bradley Dirks, Morihiko Saito
We give an explicit formula to express the cohomological pullback functors of Hodge modules under closed immersions of smooth varieties using Verdier specializations and -filtra…
The minimal exponent and -rationality for local complete intersections
Qianyu Chen, Bradley Dirks, Mircea Mustaţă
We show that if is a local complete intersection subvariety of a smooth complex variety , of pure codimension , then has -rational singularities if and only if $\w…
V-filtrations and minimal exponents for locally complete intersection singularities
Qianyu Chen, Bradley Dirks, Mircea Mustaţă +1
We define and study a notion of minimal exponent for a locally complete intersection subscheme of a smooth complex algebraic variety , extending the invariant defined by Sai…
On -filtration, Hodge filtration and Fourier transform
Qianyu Chen, Bradley Dirks
For a closed immersion of smooth varieties, we study how the -filtration along and the Hodge filtration on a mixed Hodge module on interact with each o…
Limits of Hodge structures via holonomic D-modules
Qianyu Chen
We construct the limiting mixed Hodge structure of a degeneration of compact Kähler manifolds over the unit disk with a possibly non-reduced simple normal crossing singular central…