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math.AG2026
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…
math.AG2026
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.…
math.AG2026
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…