New moduli components of rank 2 bundles on projective space

We present a new family of monads whose cohomology is a stable rank 2 vector bundle on . We also study the irreducibility and smoothness together with a geometrical description of some of these families. These facts are used to construct a new infinite series of rational moduli components of stable...

Full description

Saved in:
Bibliographic Details
Published in:Sbornik. Mathematics 2021-11, Vol.212 (11), p.1503-1552
Main Authors: Almeida, C., Jardim, M., Tikhomirov, A. S., Tikhomirov, S. A.
Format: Article
Language:English
Subjects:
Homology
Infinite series
instanton bundles
monads
rank 2 bundles
Smoothness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a new family of monads whose cohomology is a stable rank 2 vector bundle on . We also study the irreducibility and smoothness together with a geometrical description of some of these families. These facts are used to construct a new infinite series of rational moduli components of stable rank 2 vector bundles with trivial determinant and growing second Chern class. We also prove that the moduli space of stable rank 2 vector bundles with trivial determinant and second Chern class equal to 5 has exactly three irreducible rational components. Bibliography: 40 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM9490