103 citations · 686 across the 101 of their papers we have counts for
5 papers · 1 filter
Poisson structures and birational morphisms associated with bundles on elliptic curves
Alexander Polishchuk
In this paper we define a Poisson structure on some moduli spaces related to principal G-bundles on elliptic curves, the simplest example being the moduli space of stable pairs: a…
Analogue of Weil representation for abelian schemes
Alexander Polishchuk
In this paper we construct a projective action of certain arithmetic group on the derived category of coherent sheaves on an abelian scheme , which is analogous to Weil represen…
Determinant bundles for abelian schemes
Alexander Polishchuk
To a symmetric, relatively ample line bundle on an abelian scheme one can associate a linear combination of the determinant bundle and the relative canonical bundle, which is a tor…
Symplectic biextensions and a generalization of the Fourier-Mukai transform
Alexander Polishchuk
A generalization of the Fourier-Mukai transform is proposed. The construction is based on analogy with the classical picture of representations of the Heisenberg group.
On Koszul property of the homogeneous coordinate ring of a curve
A. Polishchuk
The following corollary has been added: for general tetragonal curve of genus the homogeneous coordinate ring of defined by the line bundle , where is t…