35 citations · 69 across the 12 of their papers we have counts for
31 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…
Sheaves of t-structures and valuative criteria for stable complexes
Dan Abramovich, Alexander Polishchuk
In this work more questions arise than answers given, for which of course we do not apologize. The core of this paper is concerned with the construction of a ``constant'' t-structu…
Universal algebraic equivalences between tautological cycles on Jacobians of curves
Alexander Polishchuk
We present a collection of algebraic equivalences between tautological cycles on the Jacobian of a curve, i.e., cycles in the subring of the Chow ring of generated by the c…