A. Polishchuk

activity

19972005

most citedClassification of holomorphic vector bundles on noncommutative two-tori

35 citations · 69 across the 12 of their papers we have counts for

collaborators

Showing 2003Show all

4 papers · 1 filter

math.AG2003★ 2 cited

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…

math.AG2003

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 $J$ of a curve, i.e., cycles in the subring of the Chow ring of $J$ generated by the c…

math.QA2003★ 35 cited

Classification of holomorphic vector bundles on noncommutative two-tori

Alexander Polishchuk

We prove that every holomorphic vector bundle on a noncommutative two-torus $T$ can be obtained by successive extensions from standard holomorphic bundles considered in math.QA/021…

math.AG2003★ 1 cited

Extensions of homogeneous coordinate rings to $A_{\infty}$ -algebras

Alexander Polishchuk

We study $A_{\infty}$ -structures extending the natural algebra structure on the cohomology of $\oplus_{n} L^{n}$ , where $L$ is a very ample line bundle on a projective $d$ -dimensional…

Sheaves of t-structures and valuative criteria for stable complexes

Universal algebraic equivalences between tautological cycles on Jacobians of curves

Classification of holomorphic vector bundles on noncommutative two-tori

Extensions of homogeneous coordinate rings to A∞​-algebras

Extensions of homogeneous coordinate rings to $A_{\infty}$ -algebras