Geodesic
New moduli components of rank~2 bundles on projective space
Sbornik. Mathematics, Tome 212 (2021) no. 11, pp. 1503-1552

Voir la notice de l'article provenant de la source Math-Net.Ru

We present a new family of monads whose cohomology is a stable rank 2 vector bundle on $\mathbb{P}^3$. 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.
Keywords: rank 2 bundles, monads, instanton bundles. 
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     author = {C. Almeida and M. Jardim and A. S. Tikhomirov and S. A. Tikhomirov},
     title = {New moduli components of rank~2 bundles on projective space},
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     year = {2021},
     language = {en},
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C. Almeida; M. Jardim; A. S. Tikhomirov; S. A. Tikhomirov. New moduli components of rank~2 bundles on projective space. Sbornik. Mathematics, Tome 212 (2021) no. 11, pp. 1503-1552. http://geodesic.mathdoc.fr/item/SM_2021_212_11_a0/