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Ulrich bundles on Veronese surfaces


Authors: Emre Coskun and Ozhan Genc
Journal: Proc. Amer. Math. Soc.
MSC (2010): Primary 14J60
DOI: https://doi.org/10.1090/proc/13659
Published electronically: May 30, 2017
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Abstract: We prove that every Ulrich bundle on the Veronese surface has a resolution in terms of twists of the trivial bundle over $ \mathbb{P}^{2}$. Using this classification, we prove existence results for stable Ulrich bundles over $ \mathbb{P}^{k}$ with respect to an arbitrary polarization $ dH$.


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Additional Information

Emre Coskun
Affiliation: Department of Mathematics, Middle East Technical University, 06800, Ankara, Turkey
Email: emcoskun@metu.edu.tr

Ozhan Genc
Affiliation: Mathematics Research and Teaching Group, Middle East Technical University, 06800, Ankara, Turkey
Address at time of publication: Mathematics Research and Teaching Group, Middle East Technical University, Northern Cyprus Campus, KKTC, Mersin 10, Turkey
Email: ozhangenc@gmail.com

DOI: https://doi.org/10.1090/proc/13659
Received by editor(s): September 22, 2016
Received by editor(s) in revised form: December 6, 2016
Published electronically: May 30, 2017
Additional Notes: The first author was supported by TUBITAK project 114F116.
Communicated by: Jerzy Weyman
Article copyright: © Copyright 2017 American Mathematical Society