10 papers · 1 filter
Projective connections on super Heisenberg coinvariants. I
Giovanni Felder, David Kazhdan, Alexander Polishchuk
We study derived coinvariants of isotropic subbundles on modules over super Heisenberg algebras and construct and study certain natural transitive Lie algebroids acting on them.
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…
-property for algebraic stacks over local non-archimedean fields
David Kazhdan, Alexander Polishchuk
We introduce an -norm on the space of Schwartz half-densities over algebraic stacks over local non-archimedean fields. We show that these -norms are finite for the stacks…
Perversity of coinvariants of affine Springer sheaves
Alexis Bouthier, David Kazhdan, Yakov Varshavsky
Using techniques of [BKV], we construct a perverse t-structure on the infinity-category of l-adic LG-equivariant sheaves on the regular-semisimple bounded locus of the loop group L…
Analog of theta-lifting for a curve over dual numbers over a finite field
David Kazhdan, Alexander Polishchuk
We continue the study of automorphic functions associated with a curve over the ring , where is a finite field, begun in arXiv:2303.16259. Namely, we study an e…
Endoscopic decomposition of elliptic Fargues-Scholze L-packets
David Kazhdan, Yakov Varshavsky
The main goal of this note is to show that the local L-packet of Fargues-Scholze [FS], corresponding to an elliptic L-parameter, has an endoscopic decomposition. Our argument is st…
Superperiods and superstring measure near the boundary of the moduli space of supercurves
Giovanni Felder, David Kazhdan, Alexander Polishchuk
We study the behavior of the superperiod map near the boundary of the moduli space of stable supercurves and prove that it is similar to the behavior of periods of classical curves…
Schwartz -densities on the moduli stack of rank bundles near stable bundles
David Kazhdan, Alexander Polishchuk
Let be a curve over a non-archimedean local field of characteristic zero. We formulate algebro-geometric statements that imply boundedness of functions on the moduli space of s…