Moore Matrices and Ulrich Bundles on an Elliptic Curve

Moore Matrices and Ulrich Bundles on an Elliptic Curve. Buchweitz, R. & Pavlov, A. arXiv:1511.05502 [math], November, 2015. arXiv: 1511.05502

Paper abstract bibtex

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.

@article{buchweitz_moore_2015,
	title = {Moore {Matrices} and {Ulrich} {Bundles} on an {Elliptic} {Curve}},
	url = {http://arxiv.org/abs/1511.05502},
	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.},
	language = {en},
	urldate = {2019-02-08},
	journal = {arXiv:1511.05502 [math]},
	author = {Buchweitz, Ragnar-Olaf and Pavlov, Alexander},
	month = nov,
	year = {2015},
	note = {arXiv: 1511.05502},
	keywords = {13C14, 14H52, 14H60, 14K25, Mathematics - Algebraic Geometry}
}

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