Ulrich Bundles on Three-Dimensional Scrolls

Author:

Fania Maria Lucia1,Lelli-Chiesa Margherita1,Pons-Llopis Joan2

Affiliation:

1. DISIM, University of L’Aquila, Via Vetoio, Loc. Coppito, I-67100 L’Aquila, Italy

2. Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy

Abstract

Abstract In this paper we construct Ulrich bundles of low rank on three-dimensional scrolls (with respect to the tautological line bundle). We pay special attention to the four types of three-fold scrolls in ${\mathbb{P}}^5$, which were classified in [31].

Funder

Italian PRIN-2015 project “Geometry of Algebraic varieties”

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference34 articles.

1. Criteria for very-ampleness of rank-two vector bundles over ruled surfaces;Alzati;Canad. J. Math.,2010

2. Characterization of Ulrich bundles on Hirzebruch surfaces;Antonelli,2018

3. Ulrich bundles on ruled surfaces;Aprodu;J. Pure Appl. Algebra,2018

4. Minimal resolutions, chow forms and Ulrich bundles on K3 surfaces;Aprodu;J. Reine Angew. Math.,2017

5. Ulrich bundles on abelian surfaces;Beauville;Proc. Amer. Math. Soc.,2016

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Ulrich bundles on some threefold scrolls over Fe;Advances in Mathematics;2024-01

2. On Ulrich bundles on projective bundles;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2021-07-20

3. Ulrich bundles on some twisted flags;Rocky Mountain Journal of Mathematics;2020-04-01

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