102 citations · 502 across the 49 of their papers we have counts for
8 papers · 1 filter
The jet schemes of the nilpotent cone of over and analytic properties of the Chevalley map
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +1
We prove dimension bounds on the jet schemes of the variety of nilpotent matrices (and of related varieties) in positive characteristic. This result has applications to the analyti…
Effective local differential topology of algebraic varieties over local fields of positive characteristics
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +1
In this paper we provide a framework for quantitative statements on distances and measures when studying algebraic varieties and morphisms of algebraic varieties over local fields.…
Invertible top form on the Hilbert scheme of a plane in positive characteristic
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +1
We prove that the Hilbert scheme of the plane in positive characteristic admits an invertible top differential form. This implies certain integrability properties of the symmetric…
Quotients of Nash Manifolds by Equivalence Relations
Avraham Aizenbud, Shachar Carmeli, Dmitry Gourevitch +1
We prove that a quotient of a Nash manifold by a closed equivalence relation , which is submersive over , yields a Nash manifold .
Symplectic complexity of reductive group actions
Avraham Aizenbud, Dmitry Gourevitch
Let a complex algebraic reductive group act on a complex algebraic manifold . For a -invariant subvariety of the nilpotent cone $\mathcal{N}(\mathfrak{g}^…
De-Rham theorem and Shapiro lemma for Schwartz functions on Nash manifolds
Avraham Aizenbud, Dmitry Gourevitch
In this paper we continue our work on Schwartz functions and generalized Schwartz functions on Nash (i.e. smooth semi-algebraic) manifolds. Our first goal is to prove analogs of de…