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## Moore Matrices and Ulrich Bundles on an Elliptic Curve

math. arxive. Cornell University, 2015. No. 1511.05502.
Pavlov A., Buchweitz R.
We give normal forms of determinantal representations of a smooth projective plane cubic in terms of Moore matrices. Building on this, we exhibit matrix factorizations for all indecomposable vector bundles of rank 2 and degree 0 without nonzero sections, also called Ulrich bundles, on such curves.