2014
DOI: 10.1215/21562261-2400310
|View full text |Cite
|
Sign up to set email alerts
|

On rank 2 vector bundles on Fano manifolds

Abstract: In this work we deal with vector bundles of rank two on a Fano manifold X with second and fourth Betti numbers equal to one. We study the nef and pseudoeffective cones of the corresponding projectivizations and how these cones are related to the decomposability of the vector bundle. As consequences, we obtain the complete list of P 1 -bundles over X that have a second P 1 -bundle structure, classify all the uniform rank two vector bundles on this class of Fano manifolds and show the stability of indecomposable… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
35
0

Year Published

2014
2014
2022
2022

Publication Types

Select...
6

Relationship

2
4

Authors

Journals

citations
Cited by 29 publications
(35 citation statements)
references
References 36 publications
0
35
0
Order By: Relevance
“…Let us sketch the proof of this result here; we refer the interested reader to [20,Theorem. 6.5] for further details.…”
Section: Annales De L'institut Fouriermentioning
confidence: 98%
See 4 more Smart Citations
“…Let us sketch the proof of this result here; we refer the interested reader to [20,Theorem. 6.5] for further details.…”
Section: Annales De L'institut Fouriermentioning
confidence: 98%
“…As a consequence of the second item of Lemma 2.3, we may apply [33, Theorem 1.2] (see also [20,Lemma 6.1]) in order to obtain the following result:…”
Section: Annales De L'institut Fouriermentioning
confidence: 99%
See 3 more Smart Citations