27 citations · 102 across the 62 of their papers we have counts for
67 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.…
On Segre products, -regularity, and finite Frobenius representation type
Anurag K. Singh, Kei-ichi Watanabe
We study the behavior of various properties of commutative Noetherian rings under Segre products, with a special focus on properties in positive prime characteristic defined using…
Dyck paths, binary words, and Grassmannian permutations avoiding an increasing pattern
Krishna Menon, Anurag Singh
A permutation is called Grassmannian if it has at most one descent. The study of pattern avoidance in such permutations was initiated by Gil and Tomasko in 2021. We continue this w…
Čech complexes of hypercube graphs
Henry Adams, Samir Shukla, Anurag Singh
A Čech complex of a finite simple graph is a nerve complex of balls in the graph, with one ball centered at each vertex. More precisely, let the Čech complex …
Bounds for the collapsibility number of a simplicial complex and non-cover complexes of hypergraphs
Rekha Santhanam, Samir Shukla, Anurag Singh
The collapsibility number of simplicial complexes was introduced by Wegner in order to understand the intersection patterns of convex sets. This number also plays an important role…