56 citations · 338 across the 56 of their papers we have counts for
63 papers
Negative -theory and Hodge theory
Andrew Burke, Mihnea Popa, Wanchun Shen
We study the negative -groups of complex varieties from a mixed Hodge-theoretic perspective, making use of the theory of higher singularities, Chow groups, and the Minimal Model…
Q-factoriality and Hodge-Du Bois theory
Sung Gi Park, Mihnea Popa
We prove Hodge-theoretic formulas for the -factoriality defect of a normal projective variety, and for the local analytic -factoriality defect of an analyti…
Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities
Mihnea Popa, Wanchun Shen, Anh Duc Vo
We prove an injectivity theorem for the cohomology of the Du Bois complexes of varieties with isolated singularities. We use this to deduce vanishing statements for the cohomologie…
Hodge symmetry and Lefschetz theorems for singular varieties
Sung Gi Park, Mihnea Popa
We prove new results concerning the topology and Hodge theory of singular varieties. A common theme is that concrete conditions on the complexity of the singularities, from a numbe…
Du Bois complexes of cones over singular varieties, local cohomological dimension, and K-groups
Mihnea Popa, Wanchun Shen
We compute the Du Bois complexes of abstract cones over singular varieties, and use this to describe the local cohomological dimension and the non-positive K-groups of such cones.
Erratum to the paper: Asymptotic Invariants of Base Loci
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
This note points out a gap in the proof of one of the technical results in the paper "Asymptotic Invariants of Base Loci", that appeared in Ann. Inst. Fourier (Grenoble) 56 (2006),…