265 citations · 300 across the 15 of their papers we have counts for
19 papers
Applications of perverse sheaves in commutative algebra
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
The goal of this paper is to explain how basic properties of perverse sheaves sometimes translate via Riemann-Hilbert correspondences (in both characteristic and characteristic…
Frobenius on the cohomology of thickenings
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
We investigate the injectivity of the Frobenius map on thickenings of smooth varieties in projective space over a field of positive characteristic. We obtain uniform bounds -- i.e.…
An asymptotic vanishing theorem for the cohomology of thickenings
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
Let be a closed equidimensional local complete intersection subscheme of a smooth projective scheme over a field, and let denote the -th thickening of in .…
On the matlis duals of local cohomology modules
Gennady Lyubeznik, Tuğba Yıldırım
Let be a Noetherian regular local ring containing a field of characteristic and a nonzero ideal of . In this short note, we prove that if $\operator…
Stabilization of the cohomology of thickenings
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
For a local complete intersection subvariety in over a field of characteristic zero, we show that, in cohomological degrees smaller than the cod…
An extension of a theorem of Hartshorne
Mordechai Katzman, Gennady Lyubeznik, Wenliang Zhang
We extend a classical theorem of Hartshorne concerning the connectedness of the punctured spectrum of a local ring by analyzing the homology groups of a simplicial complex associat…