14 citations · 39 across the 9 of their papers we have counts for
9 papers · 1 filter
Nearby Cycle Sheaves for Stable Polar Representations
Mikhail Grinberg, Kari Vilonen, Ting Xue
Let G|V, G connected, reductive over C, be a stable polar representation in the sense of [DK], satisfying some mild additional hypotheses. Given a G-equivariant rank one local syst…
Errata and notes on the paper "A generalization of Springer theory using nearby cycles"
Mikhail Grinberg
We provide some corrections and clarifications to the paper [Gr3] of the title. In particular, we clarify the "left/right" conventions on complex reflection groups and their braid…
Nearby Cycle Sheaves for Symmetric Pairs
Mikhail Grinberg, Kari Vilonen, Ting Xue
We present a nearby cycle sheaf construction in the context of symmetric spaces. This construction can be regarded as a replacement for the Grothendieck-Springer resolution in clas…
Dimensions of the Ascending and Descending Sets in Complex Stratified Morse Theory
Mikhail Grinberg
We present a new construction of gradient-like vector fields in the setting of Morse theory on a complex analytic stratification. We prove that the ascending and descending sets fo…
Gradient-like flows and self-indexing in stratified Morse theory
Mikhail Grinberg
We develop the idea of self-indexing and the technology of gradient-like vector fields in the setting of Morse theory on a complex algebraic stratification. Our main result is the…
Versal deformations of formal arcs
Mikhail Grinberg, David Kazhdan
Let X be a complex algebraic variety, and L(X) be the scheme of formal arcs in X. Let f be an arc whose image is not contained in the singularities of X. We show that the formal ne…