On the existence of Ulrich vector bundles on some irregular surfaces
Author:
Angelo Felice Lopez
Journal:
Proc. Amer. Math. Soc. 149 (2021), 13-26
MSC (2010):
Primary 14J60; Secondary 14J27, 14J29
DOI:
https://doi.org/10.1090/proc/15278
Published electronically:
October 16, 2020
MathSciNet review:
4172582
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We establish the existence of rank two Ulrich vector bundles on surfaces that are either of maximal Albanese dimension or with irregularity $1$, under many embeddings. In particular, we get the first known examples of Ulrich vector bundles on irregular surfaces of general type. Another consequence is that every surface such that either $q \le 1$ or $q \ge 2$ and its minimal model has rank one, carries a simple rank two Ulrich vector bundle.
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Additional Information
Angelo Felice Lopez
Affiliation:
Dipartimento di Matematica e Fisica, Università di Roma Tre, Largo San Leonardo Murialdo 1, 00146, Roma, Italy
MR Author ID:
289566
ORCID:
0000-0003-4923-6885
Email:
lopez@mat.uniroma3.it
Received by editor(s):
January 31, 2019
Received by editor(s) in revised form:
April 10, 2020
Published electronically:
October 16, 2020
Additional Notes:
This research was partially supported by PRIN “Geometria delle varietà algebriche” and GNSAGA-INdAM
Communicated by:
Alexander Braverman
Article copyright:
© Copyright 2020
American Mathematical Society