103 citations · 686 across the 101 of their papers we have counts for
6 papers · 2 filters
Elliptic zastava
Michael Finkelberg, Mykola Matviichuk, Alexander Polishchuk
We study the elliptic zastava spaces, their versions (twisted, Coulomb, Mirkovic local spaces, reduced) and relations with monowalls moduli spaces and Feigin-Odesskii moduli spaces…
Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes
Ugo Bruzzo, Daniel Hernandez Ruiperez, Alexander Polishchuk
These notes aim at providing a complete and systematic account of some foundational aspects of algebraic supergeometry, namely, the extension to the geometry of superschemes of man…
Elliptic bihamiltonian structures from relative shifted Poisson structures
Zheng Hua, Alexander Polishchuk
In this paper, generalizing the construction of \cite{HP1}, we equip the relative moduli stack of complexes over a Calabi-Yau fibration (possibly with singular fibers) with a shift…
The moduli space of stable supercurves and its canonical line bundle
Giovanni Felder, David Kazhdan, Alexander Polishchuk
We prove that the moduli of stable supercurves with punctures is a smooth proper DM stack and study an analog of the Mumford's isomorphism for its canonical line bundle.
Geometrization of trigonometric solutions of the associative and classical Yang-Baxter equations
Alexander Polishchuk
We describe a geometric construction of all nondegenerate trigonometric solutions of the associative and classical Yang-Baxter equations. In the associative case the solutions come…
A Landau-Ginzburg mirror theorem via matrix factorizations
Weiqiang He, Alexander Polishchuk, Yefeng Shen +1
For an in invertible quasihomogeneous singularity we prove an all-genus mirror theorem establishing an isomorphism between two cohomological field theories. On the -side it…