103 citations · 686 across the 101 of their papers we have counts for
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math.AG1999
Generalized character sums associated to regular prehomogeneous vector spaces
David Kazhdan, Alexander Polishchuk
In this paper we consider the analogue of the Sato's functional equation for the prehomogeneous vector spaces over finite fields. The corresponding character sums depend on a relat…
math.AG1999★ 11 cited
Fourier transform for D-algebras
Alexander Polishchuk, Mitchell Rothstein
We construct a version of Fourier transform for a class of non-commutative algebras over abelian varieties which include algebras of twisted differential operators generalizing the…
math.AG1999★ 53 cited
Homological mirror symmetry with higher products
Alexander Polishchuk
We construct an -structure on the Ext-groups of hermitian holomorphic vector bundles on a compact complex manifold. We propose a generalization of the homological mirro…