Ulrich bundles on smooth projective varieties of minimal degree
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- by M. Aprodu, S. Huh, F. Malaspina and J. Pons-Llopis PDF
- Proc. Amer. Math. Soc. 147 (2019), 5117-5129 Request permission
Abstract:
We classify Ulrich vector bundles of arbitrary rank on smooth projective varieties of minimal degree. In the process, we prove the stability of the sheaves of relative differentials on rational scrolls.References
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Additional Information
- M. Aprodu
- Affiliation: Faculty of Mathematics and Computer Science, University of Bucharest, 14 Academiei Street, 010014 Bucharest, Romania; and “Simion Stoilow” Institute of Mathematics of the Romanian Academy, P. O. Box 1-764, 014700 Bucharest, Romania
- MR Author ID: 611558
- Email: marian.aprodu@fmi.unibuc.ro, marian.aprodu@imar.ro
- S. Huh
- Affiliation: Sungkyunkwan University, Suwon 440-746, Republic of Korea
- MR Author ID: 886034
- Email: sukmoonh@skku.edu
- F. Malaspina
- Affiliation: Department of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
- MR Author ID: 833101
- Email: francesco.malaspina@polito.it
- J. Pons-Llopis
- Affiliation: Department of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
- MR Author ID: 931485
- ORCID: 0000-0001-5952-0279
- Email: juan.ponsllopis@polito.it
- Received by editor(s): January 8, 2018
- Received by editor(s) in revised form: March 22, 2019, and March 25, 2019
- Published electronically: June 14, 2019
- Additional Notes: The first author was partly supported by a grant from the Ministery of Research and Innovation, CNCS - UEFISCDI, project number PN-III-P4-ID-PCE-2016-0030, within PNCDI III
The second author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2018R1C1A6004285 and No. 2016R1A5A1008055).
The third author was supported by the framework of PRIN 2010/11 “Geometria delle varietà algebriche”, cofinanced by MIUR and GNSAGA of INDAM (Italy)
The fourth author was supported by an FY2015 JSPS Postdoctoral Fellowship - Communicated by: Lev Borisov
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 5117-5129
- MSC (2010): Primary {14J60}; Secondary {13C14, 14F05}
- DOI: https://doi.org/10.1090/proc/14640
- MathSciNet review: 4021074