15 citations · 42 across the 16 of their papers we have counts for
17 papers
Bernstein-Sato ideals for free hyperplane arrangements
Wenzong Guo, Lei Wu, Fanghan Xiang
Let be a complete factorization of a central hyperplane arrangement in . For a monoid ideal we study the Bernstein…
Generalized nearby cycles via relative and logarithmic -modules
Lei Wu, with an appendix by Claude Sabbah
For a regular map from a complex smooth affine variety to , we construct generalized nearby-cycle modules of a regular holonomic -module…
The Intersection Structure of Bernstein-Sato Ideals
Lei Wu
By using logarithmic -modules and Gröbner bases, we prove that Bernstein-Sato ideals satisfy some symmetric intersection property, answering a question posed by Budur.…
A Note on a Recent Attempt to Prove the Irrationality of
Keyu Chen, Wei He, Yixin He +7
Recently Shekhar Suman [arXiv: 2407.07121v6 [math.GM] 3 Aug 2024] made an attempt to prove the irrationality of . But unfortunately the proof is not correct. In this note, we…
Bernstein-Sato ideals
Nero Budur, Robin van der Veer, Lei Wu +1
In this paper, we review several results on the zero loci of Bernstein-Sato ideals related to singularities of hypersurfaces. This is an exposition for the Frontiers of Science Awa…
Characteristic cycles associated to holonomic -modules
Lei Wu
We study relative and logarithmic characteristic cycles associated to holonomic -modules. As applications, we obtain: (1) an alternative proof of Ginsburg's log charact…
Bernstein-Sato ideals and hyperplane arrangements
Lei Wu
We study the relation between zero loci of Bernstein-Sato ideals and roots of b-functions and obtain a criterion to guarantee that roots of b-functions of a reducible polynomial ar…
Isotriviality of smooth families of varieties of general type
Chuanhao Wei, Lei Wu
In this paper, we proved that a log smooth family of log general type klt pairs with a special (in the sense of Campana) quasi-projective base is isotrivial. As a consequence, we p…
On the comparison of nearby cycles via -functions
Lei Wu
In this article, we give a simple proof of the comparison of nearby and vanishing cycles in the sense of Riemann-Hilbert correspondence following the idea of Beilinson and Bernstei…
Zero loci of Bernstein-Sato ideals -- II
Nero Budur, Robin van der Veer, Lei Wu +1
We have recently proved a precise relation between Bernstein-Sato ideals of collections of polynomials and monodromy of generalized nearby cycles. In this article we extend this re…
Zero loci of Bernstein-Sato ideals
Nero Budur, Robin van der Veer, Lei Wu +1
We prove a conjecture of the first author relating the Bernstein-Sato ideal of a finite collection of multivariate polynomials with cohomology support loci of rank one complex loca…
Hyperbolicity for log smooth families with maximal variation
Chuanhao Wei, Lei Wu
We prove that the base space of a log smooth family of log canonical pairs of log general type is of log general type as well as algebraically degenerate, when the family admits a…
Vanishing and injectivity for R-Hodge modules and R-divisors
Lei Wu
We prove the injectivity and vanishing theorem for R-Hodge modules and R-divisors over projective varieties, extending the results for rational Hodge modules and integral divisors…
Brody hyperbolicity of base spaces of certain families of varieties
Mihnea Popa, Behrouz Taji, Lei Wu
We prove that quasi-projective base spaces of smooth families of minimal varieties of general type with maximal variation do not admit Zariski dense entire curves. We deduce the fa…
Nearby and vanishing cycles for perverse sheaves and D-modules
Lei Wu
We survey nearby and vanishing cycles for both perverse sheaves and D-modules under analytic setting. Following ideas of A. Beilinson, M. Kashiwara and M. Saito, we explain in deta…
Weak positivity for Hodge modules
Mihnea Popa, Lei Wu
We prove the weak positivity of the kernels of Kodaira-Spencer- type maps for pure Hodge module extensions of generically defined variations of Hodge structure.
Vanishing and injectivity theorems for Hodge modules
Lei Wu
We prove a surjectivity theorem for the Deligne canonical extension of a polarizable variation of Hodge structure with quasi-unipotent monodromy at infinity along the lines of Esna…