A. Polishchuk

activity

19932023

most citedCategories of holomorphic vector bundles on noncommutative two-tori

103 citations · 686 across the 101 of their papers we have counts for

collaborators

Showing 2022 · math.AGShow all

3 papers · 2 filters

math.AG2022★ 1 cited

Compatible Feigin-Odesskii Poisson brackets

Nikita Markarian, Alexander Polishchuk

We prove that several Feigin-Odesskii Poisson brackets associated with normal elliptic curves in $P^{n}$ are compatible if and only if they are contained in a scroll or in…

math.AG2022

Linear subspaces in cubic hypersurfaces

Alexander Polishchuk, Chen Wang

We prove that for any cubic polynomial of slice rank $r$ , the intersection of all linear subspaces of minimal codimension contained in the corresponding hypersurface has codimensio…

math.AG2022★ 5 cited

Feigin-Odesskii brackets, syzygies, and Cremona transformations

Alexander Polishchuk

We identify Feigin-Odesskii brackets $q_{n, 1} (C)$ , associated with a normal elliptic curve of degree $n$ , $C \subset P^{n - 1}$ , with the skew-symmetric $n \times n$ matrix o…