103 citations · 686 across the 101 of their papers we have counts for
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Moduli spaces of curves with effective r-spin structures
Alexander Polishchuk
We introduce the moduli stack of pointed curves equipped with effective -spin structures: these are effective divisors such that is a canonical divisor modified at mark…
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…
Classification of holomorphic vector bundles on noncommutative two-tori
Alexander Polishchuk
We prove that every holomorphic vector bundle on a noncommutative two-torus can be obtained by successive extensions from standard holomorphic bundles considered in math.QA/021…
Extensions of homogeneous coordinate rings to -algebras
Alexander Polishchuk
We study -structures extending the natural algebra structure on the cohomology of , where is a very ample line bundle on a projective -dimensional…