4 papers
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…
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
Using Saito's theory of mixed Hodge modules, we study a generalization of Hellus-Schenzel's "cohomologically complete intersection" property. This property is equivalent to pervers…
The minimal exponent of cones over smooth complete intersection projective varieties
Qianyu Chen, Bradley Dirks, Mircea MustaÅ£Ä
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…