4 papers · 1 filter
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…
On the specialization to the asymptotic cone
Mikhail Grinberg
Let X be a smooth, connected, closed subvariety of a complex vector space V. The asymptotic cone as(X) is naturally equipped with a nearby cycles sheaf P coming from the specializa…
Morse groups in symmetric spaces corresponding to the symmetric group
Mikhail Grinberg
We describe the Morse groups of the nearby cycles sheaves on the nilcones in three classical symmetric spaces.