Turkish Journal of Mathematics
Abstract
The existence of monads on products of projective spaces $P^{a_1}\times\cdots\times\ P^{a_n}$ is nontrivial. In this paper, we construct monads over the polycyclic variety $P^{2n+1}\times\ P^{2n+1}$, we prove that cohomology vector bundle associated to these monads is simple. We also construct a monad on $P^1\times P^1\times\ P^2$. We also study the vector bundles associated to monads and prove stability and simplicity.
DOI
10.3906/mat-2101-6
Keywords
Vector bundles, maximal rank, monads
First Page
2126
Last Page
2139
Recommended Citation
MAINGI, DAMIAN
(2021)
"Indecomposable Vector Bundles via Monads on a cartesian product of projective spaces,"
Turkish Journal of Mathematics: Vol. 45:
No.
5, Article 17.
https://doi.org/10.3906/mat-2101-6
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss5/17
