103 citations · 686 across the 101 of their papers we have counts for
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Koszul configurations of points in projective spaces
Alexander Polishchuk
We prove a new criterion for the homogeneous coordinate ring of a finite set of points in to be Koszul. Like the well known criterion due to Kempf it involves only inc…
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…
Analogues of the exponential map associated with complex structures on noncommutative two-tori
Alexander Polishchuk
We define and study analogues of exponentials for functions on noncommutative two-tori that depend on a choice of a complex structure. The major difference with the commutative cas…