Alexander Polishchuk

collaborators

Showing math.AGShow all

4 papers · 1 filter

math.AG2026

Projective connections on super Heisenberg coinvariants. I

Giovanni Felder, David Kazhdan, Alexander Polishchuk

We study derived coinvariants of isotropic subbundles on modules over super Heisenberg algebras and construct certain natural transitive Lie algebroids acting on them.

math.AG2025

Feigin-Odesskii brackets associated with Kodaira cycles and positroid varieties

Zheng Hua, Alexander Polishchuk

We establish a link between open positroid varieties in the Grassmannians $G (k, n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle $C^{n}$ , using the shif…

math.AG2025

Exceptional pairs on del Pezzo surfaces and spaces of compatible Feigin-Odesskii brackets

Alexander Polishchuk, Eric Rains

We prove that for every relatively prime pair of integers $(d, r)$ with $r > 0$ , there exists an exceptional pair $(O, V)$ on any del Pezzo surface of degree 4, such that $V…

math.AG2024

Compatible Poisson Brackets Associated with Elliptic Curves in $G (2, 5)$

Nikita Markarian, Alexander Polishchuk

We prove that a pair of Feigin-Odesskii Poisson brackets on $P^{4}$ associated with elliptic curves given as linear sections of the Grassmannian $G (2, 5)$ are compatible if…

Projective connections on super Heisenberg coinvariants. I

Feigin-Odesskii brackets associated with Kodaira cycles and positroid varieties

Exceptional pairs on del Pezzo surfaces and spaces of compatible Feigin-Odesskii brackets

Compatible Poisson Brackets Associated with Elliptic Curves in G(2,5)

Compatible Poisson Brackets Associated with Elliptic Curves in $G (2, 5)$