107 citations · 232 across the 36 of their papers we have counts for
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Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
Igor Burban, Thilo Henrich
In this paper we study unitary solutions of the associative Yang--Baxter equation (AYBE) with spectral parameters. We show that to each point from the upper half-plane and an i…
Frobenius morphism and vector bundles on cycles of projective lines
Igor Burban
In this paper we describe the action of the Frobenius morphism on the indecomposable vector bundles on cycles of projective lines. This gives an answer on a question of Paul Monsky…
Composition algebra of a weighted projective line
Igor Burban, Olivier Schiffmann
In this article, we deal with properties of the reduced Drinfeld double of the composition subalgebra of the Hall algebra of the category of coherent sheaves on a weighted projecti…
Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems
Igor Burban, Yuriy Drozd
In this article we develop a new method to deal with maximal Cohen-Macaulay modules over non-isolated surface singularities. In particular, we give a negative answer on an old ques…