6 citations · 7 across the 4 of their papers we have counts for
4 papers
Quasicoherent sheaves on complex noncommutative two-tori
Alexander Polishchuk
We introduce the notion of a quasicoherent sheaf on a complex noncommutative two-torus as an ind-object in the category of holomorphic vector bundles on . Extending the resu…
Lie symmetries of the Chow group of a Jacobian and the tautological subring
Alexander Polishchuk
Let be the Jacobian of a smooth projective curve. We define a natural action of the Lie algebra of polynomial Hamiltonian vector fields on the plane, vanishing at the origin, o…
Holomorphic bundles on 2-dimensional noncommutative toric orbifolds
Alexander Polishchuk
We define the notion of a holomorphic bundle on the noncommutative toric orbifold associated with an action of a finite cyclic group on an irrational rotation algebra.…
Universal triple Massey products on elliptic curves and Hecke's indefinite theta series
Vicentiu Pasol, Alexander Polishchuk
Generalizing math.AG/0003076 we express universal triple Massey products between line bundles on elliptic curves in terms of Hecke's indefinite theta series. We show that all Hecke…