107 citations · 232 across the 36 of their papers we have counts for
27 papers · 1 filter
Exceptional hereditary curves and real curve orbifolds
Igor Burban
In this paper, we elaborate the theory of exceptional hereditary curves over arbitrary fields. In particular, we study the category of equivariant coherent sheaves on a regular pro…
On elliptic solutions of the associative Yang-Baxter equation
Igor Burban, Andrea Peruzzi
We give a direct proof of the fact that elliptic solutions of the associative Yang-Baxter equation arise from appropriate spherical orders on an elliptic curve.
Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation
Raschid Abedin, Igor Burban
This paper is devoted to algebro-geometric study of infinite dimensional Lie bialgebras, which arise from solutions of the classical Yang-Baxter equation. We regard trigonometric s…
Morita theory for non-commutative noetherian schemes
Igor Burban, Yuriy Drozd
In this paper, we study equivalences between the categories of quasi-coherent sheaves on non-commutative noetherian schemes. In particular, give a new proof of Caldararu's conjectu…
Non-commutative nodal curves and derived tame algebras
Igor Burban, Yuriy Drozd
In this paper, we develop a geometric approach to study derived tame finite dimensional associative algebras, based on the theory of non-commutative nodal curves.
Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of CYBE
Igor Burban, Lennart Galinat, Alexander Stolin
In this paper we study the combinatorics of quasi-trigonometric solutions of the classical Yang-Baxter equation, arising from simple vector bundles on a nodal Weierstrass cubic.