Turkish Journal of Mathematics
DOI
10.3906/mat-2101-6
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.
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
