A. Polishchuk

activity

19932023

most citedCategories of holomorphic vector bundles on noncommutative two-tori

103 citations · 686 across the 101 of their papers we have counts for

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math.NT2023

Hecke operators for curves over non-archimedean local fields and related finite rings

Alexander Braverman, David Kazhdan, Alexander Polishchuk +1

We study Hecke operators associated with curves over a non-archimedean local field $K$ and over the rings $O / m^{N}$ , where $O \subset K$ is the ring of integers. Our main…

math.NT2023★ 1 cited

Automorphic functions for nilpotent extensions of curves over finite fields

Alexander Braverman, David Kazhdan, Alexander Polishchuk

We define and study the subspace of cuspidal functions for $G$ -bundles on a class of nilpotent extensions $C$ of curves over a finite field. We show that this subspace is preserved…

math.NT2000★ 3 cited

A new look at Hecke's indefinite theta series

Alexander Polishchuk

We describe a family of $q$ -series generating the space of weight 1 modular forms coming from indefinite binary quadratic forms and study linear relations between these series.