3 papers
math.RT2009
One class of wild but brick-tame matrix problems
Lesya Bodnarchuk, Yuriy Drozd
We present a class of wild matrix problems (representations of boxes), which are "brick-tame," i.e. only have one-parameter families of \emph{bricks} (representations with trivial…
math.AG2009
Simple vector bundles on plane degenerations of an elliptic curve
Lesya Bodnarchuk, Yuriy Drozd, Gert-Martin Greuel
In 1957 Atiyah classified simple and indecomposable vector bundles on an elliptic curve. In this article we generalize his classification by describing the simple vector bundles on…
math.AG2006
Vector bundles and torsion free sheaves on degenerations of elliptic curves
Lesya Bodnarchuk, Igor Burban, Yuriy Drozd +1
In this paper we give a survey about the classification of vector bundles and torsion free sheaves on degenerations of elliptic curves. Coherent sheaves on singular curves of arith…