Moore Matrices and Ulrich Bundles on an Elliptic Curve
Algebraic Geometry
2015-11-18 v1
Abstract
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.
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Cite
@article{arxiv.1511.05502,
title = {Moore Matrices and Ulrich Bundles on an Elliptic Curve},
author = {Ragnar-Olaf Buchweitz and Alexander Pavlov},
journal= {arXiv preprint arXiv:1511.05502},
year = {2015}
}
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19 pages