103 citations · 686 across the 101 of their papers we have counts for
7 papers · 1 filter
Gluing of perverse sheaves on the basic affine space
Roman Bezrukavnikov, Alexander Polishchuk
This paper is devoted to the study of the gluing construction for perverse sheaves on introduced by Kazhdan and Laumon ( is a semisimple gourp, is the unipotent radica…
Torelli theorem via Fourier-Mukai transform
Alexander Beilinson, Alexander Polishchuk
We show that the Fourier transform on the Jacobian of a curve interchanges " functions" at the curve and the theta divisor. The Torelli theorem is an immediate consequence.
Fukaya category and Fourier transform
Dmitry Arinkin, Alexander Polishchuk
We construct a version of Fourier transform for families of real tori. This transform defines a functor from certain category associated with a symplectic family of tori to the cat…
M. P. Appell's function and vector bundles of rank 2 on elliptic curve
Alexander Polishchuk
This paper is devoted to the function introduced by M. P. Appell in connection with decomposition of elliptic functions of the third kind into simple elements. We show that this fu…
Kazhdan-Laumon representations of finite Chevalley groups, character sheaves and some generalization of the Lefschetz-Verdeier trace formula
Alexander Braverman, Alexander Polishchuk
In this paper we investigate the representations of reductive groups over a finite field, introduced in 1987 by D.Kazhdan and G.Laumon. We show that generically these representatio…
Massey and Fukaya products on elliptic curves
Alexander Polishchuk
This note is a continuation of our paper with E. Zaslow "Categorical mirror symmetry: the elliptic curve", math.AG/9801119. We compare some triple Massey products on elliptic curve…