103 citations · 686 across the 101 of their papers we have counts for
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math.AG2002★ 1 cited
Noncommutative two-tori with real multiplication as noncommutative projective varieties
Alexander Polishchuk
We define analogues of homogeneous coordinate algebras for noncommutative two-tori with real multiplication. We prove that the categories of standard holomorphic vector bundles on…
math.AG2002
Witten's top Chern class on the moduli space of higher spin curves
Alexander Polishchuk
This paper is a sequel to math.AG/0011032. Its goal is to show that Witten's "top Chern class" constructed in loc.cit. satisfies all the axioms of math.AG/9905034.
math.AG2002
A_{infinity}-structures, Brill-Noether loci and the Fourier-Mukai transform
Alexander Polishchuk
We use A_{infinity}-formalism to study variation of cohomology spaces under formal deformations of coherent sheaves on projective varieties. As an application we describe formal ne…