3 papers
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 and certain moduli spaces of complexes of vector bundles over Kodaira cycle , 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 with , there exists an exceptional pair on any del Pezzo surface of degree 4, such that $V…